10269206438400 has 4320 divisors, whose sum is σ = 49080142919808. Its totient is φ = 2106910310400.

The previous prime is 10269206438399. The next prime is 10269206438489. The reversal of 10269206438400 is 483460296201.

10269206438400 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 9 + 206 + 4 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 140674060764 + ... + 140674060836.

Almost surely, 2^{10269206438400} is an apocalyptic number.

10269206438400 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 10269206438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540071459904).

10269206438400 is an abundant number, since it is smaller than the sum of its proper divisors (38810936481408).

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

10269206438400 is an equidigital number, since it uses as much as digits as its factorization.

10269206438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10269206438400 in words is "ten trillion, two hundred sixty-nine billion, two hundred six million, four hundred thirty-eight thousand, four hundred".