400725325000 has 768 divisors, whose sum is σ = 1285117747200. Its totient is φ = 113097600000.

The previous prime is 400725324959. The next prime is 400725325043. The reversal of 400725325000 is 523527004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 400725325000.

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 191 ways as a sum of consecutive naturals, for example, 1676674881 + ... + 1676675119.

It is an arithmetic number, because the mean of its divisors is an integer number (1673330400).

Almost surely, 2^400725325000 is an apocalyptic number.

400725325000 is a gapful number since it is divisible by the number (40) 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 400725325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642558873600).

400725325000 is an abundant number, since it is smaller than the sum of its proper divisors (884392422200).

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

400725325000 is a wasteful number, since it uses less digits than its factorization.

400725325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The spelling of 400725325000 in words is "four hundred billion, seven hundred twenty-five million, three hundred twenty-five thousand".