4093951680 has 896 divisors, whose sum is σ = 18352373760. Its totient is φ = 836075520.

The previous prime is 4093951657. The next prime is 4093951681. The reversal of 4093951680 is 861593904.

It is a happy number.

4093951680 is a `hidden beast` number, since 40 + 93 + 9 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4093951681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32235777 + ... + 32235903.

It is an arithmetic number, because the mean of its divisors is an integer number (20482560).

Almost surely, 2^4093951680 is an apocalyptic number.

4093951680 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 4093951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176186880).

4093951680 is an abundant number, since it is smaller than the sum of its proper divisors (14258422080).

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

4093951680 is a wasteful number, since it uses less digits than its factorization.

4093951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4093951680 is about 63983.9954988746. The cubic root of 4093951680 is about 1599.7332471960.

The spelling of 4093951680 in words is "four billion, ninety-three million, nine hundred fifty-one thousand, six hundred eighty".