10037210400 has 216 divisors, whose sum is σ = 40450161024. Its totient is φ = 2294208000.

The previous prime is 10037210399. The next prime is 10037210429. The reversal of 10037210400 is 401273001.

It is a super-2 number, since 2×10037210400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49176 + ... + 149975.

It is an arithmetic number, because the mean of its divisors is an integer number (187269264).

Almost surely, 2^10037210400 is an apocalyptic number.

10037210400 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 10037210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225080512).

10037210400 is an abundant number, since it is smaller than the sum of its proper divisors (30412950624).

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

10037210400 is a wasteful number, since it uses less digits than its factorization.

10037210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199184 (or 199168 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10037210400 its reverse (401273001), we get a palindrome (10438483401).

The spelling of 10037210400 in words is "ten billion, thirty-seven million, two hundred ten thousand, four hundred".