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40486532240 = 24572112175021
BaseRepresentation
bin100101101101001011…
…110111010010010000
310212111120112221021002
4211231023313102100
51130404023012430
630333234521132
72632202563100
oct455513672220
9125446487232
1040486532240
1116196656a00
127a1aa361a8
133a82b0056b
141d61059200
1510be58e845
hex96d2f7490

40486532240 has 360 divisors, whose sum is σ = 127464326136. Its totient is φ = 11874508800.

The previous prime is 40486532227. The next prime is 40486532297. The reversal of 40486532240 is 4223568404.

It is a happy number.

40486532240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17054270464 + 23432261776 = 130592^2 + 153076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40486532194 and 40486532203.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8060930 + ... + 8065950.

Almost surely, 240486532240 is an apocalyptic number.

40486532240 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 40486532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63732163068).

40486532240 is an abundant number, since it is smaller than the sum of its proper divisors (86977793896).

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

40486532240 is a wasteful number, since it uses less digits than its factorization.

40486532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 40486532240 in words is "forty billion, four hundred eighty-six million, five hundred thirty-two thousand, two hundred forty".