90470628410400 has 3456 divisors, whose sum is σ = 432879313950720. Its totient is φ = 17936686448640.

The previous prime is 90470628410369. The next prime is 90470628410411. The reversal of 90470628410400 is 401482607409.

90470628410400 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 0 + 628 + 4 + 10 + 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 (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16262918019 + ... + 16262923581.

It is an arithmetic number, because the mean of its divisors is an integer number (125254431120).

Almost surely, 2^{90470628410400} is an apocalyptic number.

90470628410400 is a gapful number since it is divisible by the number (90) 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 90470628410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216439656975360).

90470628410400 is an abundant number, since it is smaller than the sum of its proper divisors (342408685540320).

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

90470628410400 is a wasteful number, since it uses less digits than its factorization.

90470628410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 90470628410400 in words is "ninety trillion, four hundred seventy billion, six hundred twenty-eight million, four hundred ten thousand, four hundred".