15479401400 has 192 divisors, whose sum is σ = 37849140000. Its totient is φ = 5882112000.

The previous prime is 15479401351. The next prime is 15479401409. The reversal of 15479401400 is 410497451.

It is a super-2 number, since 2×15479401400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15479401409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103888526 + ... + 103888674.

Almost surely, 2^15479401400 is an apocalyptic number.

15479401400 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 15479401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924570000).

15479401400 is an abundant number, since it is smaller than the sum of its proper divisors (22369738600).

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

15479401400 is a wasteful number, since it uses less digits than its factorization.

15479401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 15479401400 its reverse (410497451), we get a palindrome (15889898851).

The spelling of 15479401400 in words is "fifteen billion, four hundred seventy-nine million, four hundred one thousand, four hundred".