10454435322400 has 72 divisors (see below), whose sum is σ = 25579502588304. Its totient is φ = 4172334316800.

The previous prime is 10454435322349. The next prime is 10454435322413. The reversal of 10454435322400 is 422353445401.

It is a self number, because there is not a number n which added to its sum of digits gives 10454435322400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14395086 + ... + 15103885.

It is an arithmetic number, because the mean of its divisors is an integer number (355270869282).

Almost surely, 2^{10454435322400} is an apocalyptic number.

10454435322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10454435322400 is an abundant number, since it is smaller than the sum of its proper divisors (15125067265904).

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

10454435322400 is a wasteful number, since it uses less digits than its factorization.

10454435322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29499434 (or 29499421 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 10454435322400 its reverse (422353445401), we get a palindrome (10876788767801).

The spelling of 10454435322400 in words is "ten trillion, four hundred fifty-four billion, four hundred thirty-five million, three hundred twenty-two thousand, four hundred".