15479694397440 has 3744 divisors, whose sum is σ = 73661770465920. Its totient is φ = 3082108796928.

The previous prime is 15479694397417. The next prime is 15479694397469. The reversal of 15479694397440 is 4479349697451.

15479694397440 is a `hidden beast` number, since 1 + 5 + 4 + 7 + 9 + 6 + 94 + 3 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60232273792 + ... + 60232274048.

It is an arithmetic number, because the mean of its divisors is an integer number (19674618180).

Almost surely, 2^{15479694397440} is an apocalyptic number.

15479694397440 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 15479694397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830885232960).

15479694397440 is an abundant number, since it is smaller than the sum of its proper divisors (58182076068480).

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

15479694397440 is a wasteful number, since it uses less digits than its factorization.

15479694397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 15479694397440 in words is "fifteen trillion, four hundred seventy-nine billion, six hundred ninety-four million, three hundred ninety-seven thousand, four hundred forty".