4076431920 has 360 divisors, whose sum is σ = 15614031888. Its totient is φ = 987655680.

The previous prime is 4076431873. The next prime is 4076431939. The reversal of 4076431920 is 291346704.

4076431920 is a `hidden beast` number, since 4 + 0 + 7 + 643 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2351374 + ... + 2353106.

Almost surely, 2^4076431920 is an apocalyptic number.

4076431920 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 4076431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807015944).

4076431920 is an abundant number, since it is smaller than the sum of its proper divisors (11537599968).

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

4076431920 is a wasteful number, since it uses less digits than its factorization.

4076431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4076431920 is about 63846.9413519551. The cubic root of 4076431920 is about 1597.4480046556.

The spelling of 4076431920 in words is "four billion, seventy-six million, four hundred thirty-one thousand, nine hundred twenty".