4040157960 has 128 divisors (see below), whose sum is σ = 13637952000. Its totient is φ = 1063715328.

The previous prime is 4040157959. The next prime is 4040157977. The reversal of 4040157960 is 697510404.

4040157960 is a `hidden beast` number, since 40 + 40 + 1 + 579 + 6 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 61644 + ... + 108996.

It is an arithmetic number, because the mean of its divisors is an integer number (106546500).

Almost surely, 2^4040157960 is an apocalyptic number.

4040157960 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 4040157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818976000).

4040157960 is an abundant number, since it is smaller than the sum of its proper divisors (9597794040).

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

4040157960 is a wasteful number, since it uses less digits than its factorization.

4040157960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47452 (or 47442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4040157960 is about 63562.2369021104. The cubic root of 4040157960 is about 1592.6956054239.

The spelling of 4040157960 in words is "four billion, forty million, one hundred fifty-seven thousand, nine hundred sixty".