90412434576000 has 1024 divisors, whose sum is σ = 343498479667200. Its totient is φ = 23654592000000.

The previous prime is 90412434575989. The next prime is 90412434576011. The reversal of 90412434576000 is 67543421409.

90412434576000 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 2 + 4 + 34 + 5 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90412434575989) and next prime (90412434576011).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1854551625 + ... + 1854600375.

It is an arithmetic number, because the mean of its divisors is an integer number (335447734050).

Almost surely, 2^{90412434576000} is an apocalyptic number.

90412434576000 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 90412434576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171749239833600).

90412434576000 is an abundant number, since it is smaller than the sum of its proper divisors (253086045091200).

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

90412434576000 is an frugal number, since it uses more digits than its factorization.

90412434576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48854 (or 48814 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 90412434576000 its reverse (67543421409), we get a palindrome (90479977997409).

The spelling of 90412434576000 in words is "ninety trillion, four hundred twelve billion, four hundred thirty-four million, five hundred seventy-six thousand".