15721440906240 has 1188 divisors, whose sum is σ = 58570292830608. Its totient is φ = 4048815144960.

The previous prime is 15721440906239. The next prime is 15721440906277. The reversal of 15721440906240 is 4260904412751.

15721440906240 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 14 + 4 + 0 + 9 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 32282219277 + ... + 32282219763.

Almost surely, 2^{15721440906240} is an apocalyptic number.

15721440906240 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 15721440906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285146415304).

15721440906240 is an abundant number, since it is smaller than the sum of its proper divisors (42848851924368).

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

15721440906240 is an frugal number, since it uses more digits than its factorization.

15721440906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 15721440906240 in words is "fifteen trillion, seven hundred twenty-one billion, four hundred forty million, nine hundred six thousand, two hundred forty".