4091431680 has 432 divisors, whose sum is σ = 16357723200. Its totient is φ = 924844032.

The previous prime is 4091431661. The next prime is 4091431681. The reversal of 4091431680 is 861341904.

4091431680 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4091431681) 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, 9112096 + ... + 9112544.

It is an arithmetic number, because the mean of its divisors is an integer number (37865100).

Almost surely, 2^4091431680 is an apocalyptic number.

4091431680 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 4091431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178861600).

4091431680 is an abundant number, since it is smaller than the sum of its proper divisors (12266291520).

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

4091431680 is a wasteful number, since it uses less digits than its factorization.

4091431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4091431680 is about 63964.3000430709. The cubic root of 4091431680 is about 1599.4049453879.

The spelling of 4091431680 in words is "four billion, ninety-one million, four hundred thirty-one thousand, six hundred eighty".