90440751104000 has 1440 divisors, whose sum is σ = 261671436289536. Its totient is φ = 31142707200000.

The previous prime is 90440751103981. The next prime is 90440751104071. The reversal of 90440751104000 is 40115704409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468604927904 + ... + 468604928096.

Almost surely, 2^{90440751104000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90440751104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130835718144768).

90440751104000 is an abundant number, since it is smaller than the sum of its proper divisors (171230685185536).

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

90440751104000 is a wasteful number, since it uses less digits than its factorization.

90440751104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 90440751104000 its reverse (40115704409), we get a palindrome (90480866808409).

The spelling of 90440751104000 in words is "ninety trillion, four hundred forty billion, seven hundred fifty-one million, one hundred four thousand".