14825642400 has 432 divisors, whose sum is σ = 53904299904. Its totient is φ = 3832381440.

The previous prime is 14825642357. The next prime is 14825642401. The reversal of 14825642400 is 424652841.

14825642400 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 5 + 642 + 4 + 0 + 0 = 666.

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 (14825642401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65311087 + ... + 65311313.

It is an arithmetic number, because the mean of its divisors is an integer number (124778472).

Almost surely, 2^14825642400 is an apocalyptic number.

14825642400 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 14825642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26952149952).

14825642400 is an abundant number, since it is smaller than the sum of its proper divisors (39078657504).

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

14825642400 is a wasteful number, since it uses less digits than its factorization.

14825642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14825642400 in words is "fourteen billion, eight hundred twenty-five million, six hundred forty-two thousand, four hundred".