901303341120 has 1344 divisors, whose sum is σ = 4015986863616. Its totient is φ = 180433059840.

The previous prime is 901303341109. The next prime is 901303341167. The reversal of 901303341120 is 21143303109.

901303341120 is a `hidden beast` number, since 9 + 0 + 1 + 303 + 341 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 397574227 + ... + 397576493.

It is an arithmetic number, because the mean of its divisors is an integer number (2988085464).

Almost surely, 2^901303341120 is an apocalyptic number.

901303341120 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 901303341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007993431808).

901303341120 is an abundant number, since it is smaller than the sum of its proper divisors (3114683522496).

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

901303341120 is a wasteful number, since it uses less digits than its factorization.

901303341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 901303341120 its reverse (21143303109), we get a palindrome (922446644229).

The spelling of 901303341120 in words is "nine hundred one billion, three hundred three million, three hundred forty-one thousand, one hundred twenty".