901160077440 has 768 divisors, whose sum is σ = 3671103052800. Its totient is φ = 183644651520.

The previous prime is 901160077417. The next prime is 901160077463. The reversal of 901160077440 is 44770061109.

It is an interprime number because it is at equal distance from previous prime (901160077417) and next prime (901160077463).

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, 73792935 + ... + 73805145.

It is an arithmetic number, because the mean of its divisors is an integer number (4780082100).

Almost surely, 2^901160077440 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 901160077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835551526400).

901160077440 is an abundant number, since it is smaller than the sum of its proper divisors (2769942975360).

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

901160077440 is a wasteful number, since it uses less digits than its factorization.

901160077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 901160077440 in words is "nine hundred one billion, one hundred sixty million, seventy-seven thousand, four hundred forty".