4901162636160 has 1024 divisors, whose sum is σ = 21401779046400. Its totient is φ = 1034451025920.

The previous prime is 4901162636137. The next prime is 4901162636197. The reversal of 4901162636160 is 616362611094.

4901162636160 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 1 + 6 + 2 + 636 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108962475 + ... + 109007445.

It is an arithmetic number, because the mean of its divisors is an integer number (20900174850).

Almost surely, 2^{4901162636160} is an apocalyptic number.

4901162636160 is a gapful number since it is divisible by the number (40) 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 4901162636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700889523200).

4901162636160 is an abundant number, since it is smaller than the sum of its proper divisors (16500616410240).

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

4901162636160 is a wasteful number, since it uses less digits than its factorization.

4901162636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45076 (or 45058 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 4901162636160 in words is "four trillion, nine hundred one billion, one hundred sixty-two million, six hundred thirty-six thousand, one hundred sixty".