10397424000 has 256 divisors, whose sum is σ = 34644879360. Its totient is φ = 2758400000.

The previous prime is 10397423977. The next prime is 10397424031. The reversal of 10397424000 is 42479301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12047569 + ... + 12048431.

It is an arithmetic number, because the mean of its divisors is an integer number (135331560).

Almost surely, 2^10397424000 is an apocalyptic number.

10397424000 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 10397424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322439680).

10397424000 is an abundant number, since it is smaller than the sum of its proper divisors (24247455360).

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

10397424000 is an equidigital number, since it uses as much as digits as its factorization.

10397424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 10397424000 in words is "ten billion, three hundred ninety-seven million, four hundred twenty-four thousand".