4960856400 has 120 divisors (see below), whose sum is σ = 16320916704. Its totient is φ = 1287129600.

The previous prime is 4960856399. The next prime is 4960856441. The reversal of 4960856400 is 46580694.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4960856400² = 49220192442841920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11466 + ... + 100265.

Almost surely, 2^4960856400 is an apocalyptic number.

4960856400 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 4960856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160458352).

4960856400 is an abundant number, since it is smaller than the sum of its proper divisors (11360060304).

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

4960856400 is a wasteful number, since it uses less digits than its factorization.

4960856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111789 (or 111778 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4960856400 is about 70433.3472156478. The cubic root of 4960856400 is about 1705.5019434145.

The spelling of 4960856400 in words is "four billion, nine hundred sixty million, eight hundred fifty-six thousand, four hundred".