4156755840 has 256 divisors, whose sum is σ = 14790081600. Its totient is φ = 1103339520.

The previous prime is 4156755839. The next prime is 4156755857. The reversal of 4156755840 is 485576514.

4156755840 is a `hidden beast` number, since 4 + 1 + 5 + 67 + 5 + 584 + 0 = 666.

4156755840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4156755840² = 34557238226748211200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5062630 + ... + 5063450.

Almost surely, 2^4156755840 is an apocalyptic number.

4156755840 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 4156755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395040800).

4156755840 is an abundant number, since it is smaller than the sum of its proper divisors (10633325760).

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

4156755840 is a wasteful number, since it uses less digits than its factorization.

4156755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 4156755840 is about 64472.9077985474. The cubic root of 4156755840 is about 1607.8721217085.

The spelling of 4156755840 in words is "four billion, one hundred fifty-six million, seven hundred fifty-five thousand, eight hundred forty".