4156379136 has 624 divisors, whose sum is σ = 15687403200. Its totient is φ = 1077608448.

The previous prime is 4156379063. The next prime is 4156379137. The reversal of 4156379136 is 6319736514.

It is a happy number.

4156379136 is a `hidden beast` number, since 4 + 1 + 5 + 637 + 9 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×4156379136² = 34550975044352212992, which contains 22 as substring.

Its product of digits (408240) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 4156379091 and 4156379100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4156379137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70447075 + ... + 70447133.

Almost surely, 2^4156379136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4156379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843701600).

4156379136 is an abundant number, since it is smaller than the sum of its proper divisors (11531024064).

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

4156379136 is a wasteful number, since it uses less digits than its factorization.

4156379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 4156379136 is about 64469.9863192168. The cubic root of 4156379136 is about 1607.8235493618.

The spelling of 4156379136 in words is "four billion, one hundred fifty-six million, three hundred seventy-nine thousand, one hundred thirty-six".