725001386400 has 432 divisors, whose sum is σ = 2654038505664. Its totient is φ = 193128468480.

The previous prime is 725001386399. The next prime is 725001386419. The reversal of 725001386400 is 4683100527.

725001386400 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 0 + 1 + 3 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 299957992 + ... + 299960408.

It is an arithmetic number, because the mean of its divisors is an integer number (6143607652).

Almost surely, 2^725001386400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725001386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327019252832).

725001386400 is an abundant number, since it is smaller than the sum of its proper divisors (1929037119264).

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

725001386400 is a wasteful number, since it uses less digits than its factorization.

725001386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 725001386400 its reverse (4683100527), we get a palindrome (729684486927).

The spelling of 725001386400 in words is "seven hundred twenty-five billion, one million, three hundred eighty-six thousand, four hundred".