10237990400 has 480 divisors, whose sum is σ = 30140035200. Its totient is φ = 3406233600.

The previous prime is 10237990369. The next prime is 10237990417. The reversal of 10237990400 is 409973201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115033556 + ... + 115033644.

It is an arithmetic number, because the mean of its divisors is an integer number (62791740).

Almost surely, 2^10237990400 is an apocalyptic number.

10237990400 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 10237990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070017600).

10237990400 is an abundant number, since it is smaller than the sum of its proper divisors (19902044800).

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

10237990400 is a wasteful number, since it uses less digits than its factorization.

10237990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 10237990400 in words is "ten billion, two hundred thirty-seven million, nine hundred ninety thousand, four hundred".