15401541456 has 120 divisors (see below), whose sum is σ = 49298184000. Its totient is φ = 4397073408.

The previous prime is 15401541443. The next prime is 15401541509. The reversal of 15401541456 is 65414510451.

15401541456 is a `hidden beast` number, since 1 + 54 + 0 + 154 + 1 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15401541456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505896 + ... + 1516088.

It is an arithmetic number, because the mean of its divisors is an integer number (410818200).

Almost surely, 2^15401541456 is an apocalyptic number.

15401541456 is a gapful number since it is divisible by the number (16) 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 15401541456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24649092000).

15401541456 is an abundant number, since it is smaller than the sum of its proper divisors (33896642544).

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

15401541456 is a wasteful number, since it uses less digits than its factorization.

15401541456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 15401541456 in words is "fifteen billion, four hundred one million, five hundred forty-one thousand, four hundred fifty-six".