901141044480 has 504 divisors, whose sum is σ = 3347987930280. Its totient is φ = 232010956800.

The previous prime is 901141044473. The next prime is 901141044491. The reversal of 901141044480 is 84440141109.

901141044480 is a `hidden beast` number, since 90 + 11 + 41 + 0 + 44 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150159350016 + 750981694464 = 387504^2 + 866592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27043830 + ... + 27077130.

It is an arithmetic number, because the mean of its divisors is an integer number (6642833195).

Almost surely, 2^901141044480 is an apocalyptic number.

901141044480 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 901141044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673993965140).

901141044480 is an abundant number, since it is smaller than the sum of its proper divisors (2446846885800).

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

901141044480 is an equidigital number, since it uses as much as digits as its factorization.

901141044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33369 (or 33340 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 901141044480 its reverse (84440141109), we get a palindrome (985581185589).

The spelling of 901141044480 in words is "nine hundred one billion, one hundred forty-one million, forty-four thousand, four hundred eighty".