1625038674400 has 144 divisors (see below), whose sum is σ = 4107490103808. Its totient is φ = 627143616000.

The previous prime is 1625038674367. The next prime is 1625038674419. The reversal of 1625038674400 is 44768305261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109819 + ... + 8307781.

It is an arithmetic number, because the mean of its divisors is an integer number (28524236832).

Almost surely, 2^{1625038674400} is an apocalyptic number.

1625038674400 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 1625038674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053745051904).

1625038674400 is an abundant number, since it is smaller than the sum of its proper divisors (2482451429408).

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

1625038674400 is a wasteful number, since it uses less digits than its factorization.

1625038674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198345 (or 198332 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 1625038674400 in words is "one trillion, six hundred twenty-five billion, thirty-eight million, six hundred seventy-four thousand, four hundred".