10336540400 has 240 divisors, whose sum is σ = 26735788800. Its totient is φ = 3831674880.

The previous prime is 10336540391. The next prime is 10336540427. The reversal of 10336540400 is 404563301.

It is a self number, because there is not a number n which added to its sum of digits gives 10336540400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74363531 + ... + 74363669.

It is an arithmetic number, because the mean of its divisors is an integer number (111399120).

Almost surely, 2^10336540400 is an apocalyptic number.

10336540400 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 10336540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367894400).

10336540400 is an abundant number, since it is smaller than the sum of its proper divisors (16399248400).

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

10336540400 is a wasteful number, since it uses less digits than its factorization.

10336540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 10336540400 in words is "ten billion, three hundred thirty-six million, five hundred forty thousand, four hundred".