15942205440 has 360 divisors, whose sum is σ = 63180018720. Its totient is φ = 3642753024.

The previous prime is 15942205427. The next prime is 15942205457. The reversal of 15942205440 is 4450224951.

It is a happy number.

15942205440 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 2 + 205 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 15942205395 and 15942205404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5159416 + ... + 5162504.

It is an arithmetic number, because the mean of its divisors is an integer number (175500052).

Almost surely, 2^15942205440 is an apocalyptic number.

15942205440 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 15942205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590009360).

15942205440 is an abundant number, since it is smaller than the sum of its proper divisors (47237813280).

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

15942205440 is an equidigital number, since it uses as much as digits as its factorization.

15942205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15942205440 in words is "fifteen billion, nine hundred forty-two million, two hundred five thousand, four hundred forty".