10371488870400 has 624 divisors, whose sum is σ = 39275281459200. Its totient is φ = 2365441966080.

The previous prime is 10371488870359. The next prime is 10371488870401. The reversal of 10371488870400 is 407888417301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10371488870401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1030036566 + ... + 1030046634.

Almost surely, 2^{10371488870400} is an apocalyptic number.

10371488870400 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 10371488870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637640729600).

10371488870400 is an abundant number, since it is smaller than the sum of its proper divisors (28903792588800).

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

10371488870400 is a wasteful number, since it uses less digits than its factorization.

10371488870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 10371488870400 in words is "ten trillion, three hundred seventy-one billion, four hundred eighty-eight million, eight hundred seventy thousand, four hundred".