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4041121140 = 22325722831619
BaseRepresentation
bin1111000011011110…
…1001110101110100
3101102122002020001100
43300313221311310
531234011334030
61504555130100
7202066651200
oct36067516564
911378066040
104041121140
111794120141
12949443930
134c52bb654
142a49b9b00
15189b99360
hexf0de9d74

4041121140 has 216 divisors, whose sum is σ = 14318609760. Its totient is φ = 919852416.

The previous prime is 4041121111. The next prime is 4041121151. The reversal of 4041121140 is 411211404.

4041121140 is a `hidden beast` number, since 4 + 0 + 411 + 211 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2495251 + ... + 2496869.

It is an arithmetic number, because the mean of its divisors is an integer number (66289860).

Almost surely, 24041121140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159304880).

4041121140 is an abundant number, since it is smaller than the sum of its proper divisors (10277488620).

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

4041121140 is a wasteful number, since it uses less digits than its factorization.

4041121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4041121140 is about 63569.8131191212. The cubic root of 4041121140 is about 1592.8221624115.

Adding to 4041121140 its reverse (411211404), we get a palindrome (4452332544).

The spelling of 4041121140 in words is "four billion, forty-one million, one hundred twenty-one thousand, one hundred forty".