15491615040 has 896 divisors, whose sum is σ = 65661235200. Its totient is φ = 3394068480.

The previous prime is 15491615033. The next prime is 15491615077. The reversal of 15491615040 is 4051619451.

15491615040 is a `hidden beast` number, since 1 + 5 + 4 + 91 + 61 + 504 + 0 = 666.

15491615040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15491614986 and 15491615004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41532294 + ... + 41532666.

Almost surely, 2^15491615040 is an apocalyptic number.

15491615040 is a gapful number since it is divisible by the number (10) 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 15491615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32830617600).

15491615040 is an abundant number, since it is smaller than the sum of its proper divisors (50169620160).

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

15491615040 is a wasteful number, since it uses less digits than its factorization.

15491615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15491615040 in words is "fifteen billion, four hundred ninety-one million, six hundred fifteen thousand, forty".