4957081920 has 336 divisors, whose sum is σ = 19645262208. Its totient is φ = 1123799040.

The previous prime is 4957081897. The next prime is 4957081937. The reversal of 4957081920 is 291807594.

4957081920 is a `hidden beast` number, since 49 + 570 + 8 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4957081920² = 49145322323181772800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640022 + ... + 2641898.

Almost surely, 2^4957081920 is an apocalyptic number.

4957081920 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 4957081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822631104).

4957081920 is an abundant number, since it is smaller than the sum of its proper divisors (14688180288).

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

4957081920 is a wasteful number, since it uses less digits than its factorization.

4957081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4957081920 is about 70406.5474228072. The cubic root of 4957081920 is about 1705.0692885273.

The spelling of 4957081920 in words is "four billion, nine hundred fifty-seven million, eighty-one thousand, nine hundred twenty".