4136400432 has 120 divisors (see below), whose sum is σ = 12392540160. Its totient is φ = 1334283840.

The previous prime is 4136400427. The next prime is 4136400461. The reversal of 4136400432 is 2340046314.

4136400432 is a `hidden beast` number, since 4 + 13 + 640 + 0 + 4 + 3 + 2 = 666.

4136400432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4136400396 and 4136400405.

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, 103369 + ... + 137687.

It is an arithmetic number, because the mean of its divisors is an integer number (103271168).

Almost surely, 2^4136400432 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 4136400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196270080).

4136400432 is an abundant number, since it is smaller than the sum of its proper divisors (8256139728).

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

4136400432 is a wasteful number, since it uses less digits than its factorization.

4136400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34373 (or 34355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4136400432 is about 64314.8538986135. The cubic root of 4136400432 is about 1605.2432717111.

Adding to 4136400432 its reverse (2340046314), we get a palindrome (6476446746).

The spelling of 4136400432 in words is "four billion, one hundred thirty-six million, four hundred thousand, four hundred thirty-two".