10070045798400 has 2496 divisors, whose sum is σ = 45305031720960. Its totient is φ = 2140353331200.

The previous prime is 10070045798399. The next prime is 10070045798431. The reversal of 10070045798400 is 489754007001.

It is a happy number.

10070045798400 is a `hidden beast` number, since 1 + 0 + 0 + 70 + 0 + 4 + 579 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41784422280 + ... + 41784422520.

Almost surely, 2^{10070045798400} is an apocalyptic number.

10070045798400 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 10070045798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22652515860480).

10070045798400 is an abundant number, since it is smaller than the sum of its proper divisors (35234985922560).

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

10070045798400 is a wasteful number, since it uses less digits than its factorization.

10070045798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10070045798400 in words is "ten trillion, seventy billion, forty-five million, seven hundred ninety-eight thousand, four hundred".