4133792340 has 96 divisors (see below), whose sum is σ = 13275601920. Its totient is φ = 1066780800.

The previous prime is 4133792321. The next prime is 4133792413. The reversal of 4133792340 is 432973314.

4133792340 is a `hidden beast` number, since 413 + 3 + 7 + 9 + 234 + 0 = 666.

4133792340 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 2×4133792340² = 34176478220485351200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4133792295 and 4133792304.

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, 106731 + ... + 140210.

It is an arithmetic number, because the mean of its divisors is an integer number (138287520).

Almost surely, 2^4133792340 is an apocalyptic number.

It is an amenable number.

4133792340 is an abundant number, since it is smaller than the sum of its proper divisors (9141809580).

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

4133792340 is a wasteful number, since it uses less digits than its factorization.

4133792340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246990 (or 246982 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4133792340 is about 64294.5747322432. The cubic root of 4133792340 is about 1604.9058203101.

The spelling of 4133792340 in words is "four billion, one hundred thirty-three million, seven hundred ninety-two thousand, three hundred forty".