15431940426240 has 1680 divisors, whose sum is σ = 60742507590072. Its totient is φ = 3756320096256.

The previous prime is 15431940426233. The next prime is 15431940426293. The reversal of 15431940426240 is 4262404913451.

15431940426240 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 19 + 4 + 0 + 4 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5165401653504 + 10266538772736 = 2272752^2 + 3204144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35639585064 + ... + 35639585496.

Almost surely, 2^{15431940426240} is an apocalyptic number.

15431940426240 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 15431940426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30371253795036).

15431940426240 is an abundant number, since it is smaller than the sum of its proper divisors (45310567163832).

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

15431940426240 is an equidigital number, since it uses as much as digits as its factorization.

15431940426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 15431940426240 in words is "fifteen trillion, four hundred thirty-one billion, nine hundred forty million, four hundred twenty-six thousand, two hundred forty".