4295056920 has 256 divisors, whose sum is σ = 16148090880. Its totient is φ = 887846400.

The previous prime is 4295056907. The next prime is 4295056937. The reversal of 4295056920 is 296505924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948539 + ... + 1950741.

It is an arithmetic number, because the mean of its divisors is an integer number (63078480).

Almost surely, 2^4295056920 is an apocalyptic number.

4295056920 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 4295056920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074045440).

4295056920 is an abundant number, since it is smaller than the sum of its proper divisors (11853033960).

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

4295056920 is a wasteful number, since it uses less digits than its factorization.

4295056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4295056920 is about 65536.6837732884. The cubic root of 4295056920 is about 1625.5099836795.

The spelling of 4295056920 in words is "four billion, two hundred ninety-five million, fifty-six thousand, nine hundred twenty".