15400923206400 has 5184 divisors, whose sum is σ = 70145590394880. Its totient is φ = 3310859059200.

The previous prime is 15400923206387. The next prime is 15400923206401. The reversal of 15400923206400 is 460232900451.

It is a happy number.

15400923206400 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 0 + 9 + 2 + 3 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is not an unprimeable number, because it can be changed into a prime (15400923206401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 358161004779 + ... + 358161004821.

Almost surely, 2^{15400923206400} is an apocalyptic number.

15400923206400 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 15400923206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35072795197440).

15400923206400 is an abundant number, since it is smaller than the sum of its proper divisors (54744667188480).

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

15400923206400 is a wasteful number, since it uses less digits than its factorization.

15400923206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 15400923206400 in words is "fifteen trillion, four hundred billion, nine hundred twenty-three million, two hundred six thousand, four hundred".