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4027091040 = 2533571943163
BaseRepresentation
bin1111000000001000…
…1000100001100000
3101101122200102101000
43300002020201200
531221413403130
61503334312000
7201536465130
oct36002104140
911348612330
104027091040
111787208115
129447b8600
134c241860b
142a2ba6ac0
15188827260
hexf0088860

4027091040 has 768 divisors, whose sum is σ = 17456947200. Its totient is φ = 846526464.

The previous prime is 4027091039. The next prime is 4027091041. The reversal of 4027091040 is 401907204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4027091039) and next prime (4027091041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4027090995 and 4027091013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027091041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24705999 + ... + 24706161.

It is an arithmetic number, because the mean of its divisors is an integer number (22730400).

Almost surely, 24027091040 is an apocalyptic number.

4027091040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4027091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728473600).

4027091040 is an abundant number, since it is smaller than the sum of its proper divisors (13429856160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4027091040 is a wasteful number, since it uses less digits than its factorization.

4027091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4027091040 is about 63459.3652662867. The cubic root of 4027091040 is about 1590.9766872196.

Adding to 4027091040 its reverse (401907204), we get a palindrome (4428998244).

The spelling of 4027091040 in words is "four billion, twenty-seven million, ninety-one thousand, forty".