90141381120 has 640 divisors, whose sum is σ = 338602328064. Its totient is φ = 20033961984.

The previous prime is 90141381101. The next prime is 90141381151. The reversal of 90141381120 is 2118314109.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404221329 + ... + 404221551.

Almost surely, 2^90141381120 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 90141381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169301164032).

90141381120 is an abundant number, since it is smaller than the sum of its proper divisors (248460946944).

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

90141381120 is a wasteful number, since it uses less digits than its factorization.

90141381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 90141381120 its reverse (2118314109), we get a palindrome (92259695229).

The spelling of 90141381120 in words is "ninety billion, one hundred forty-one million, three hundred eighty-one thousand, one hundred twenty".