4158540960 has 96 divisors (see below), whose sum is σ = 14970759552. Its totient is φ = 950522880.

The previous prime is 4158540941. The next prime is 4158541007. The reversal of 4158540960 is 690458514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615471 + ... + 622190.

It is an arithmetic number, because the mean of its divisors is an integer number (155945412).

Almost surely, 2^4158540960 is an apocalyptic number.

4158540960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4158540960 is an abundant number, since it is smaller than the sum of its proper divisors (10812218592).

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

4158540960 is a wasteful number, since it uses less digits than its factorization.

4158540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237686 (or 1237678 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4158540960 is about 64486.7502670122. The cubic root of 4158540960 is about 1608.1022558175.

The spelling of 4158540960 in words is "four billion, one hundred fifty-eight million, five hundred forty thousand, nine hundred sixty".