7440158160 has 120 divisors (see below), whose sum is σ = 25338628224. Its totient is φ = 1956084480.

The previous prime is 7440158153. The next prime is 7440158161. The reversal of 7440158160 is 618510447.

It is a happy number.

7440158160 is a `hidden beast` number, since 7 + 440 + 1 + 58 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7440158161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21652 + ... + 123891.

Almost surely, 2^7440158160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7440158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669314112).

7440158160 is an abundant number, since it is smaller than the sum of its proper divisors (17898470064).

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

7440158160 is a wasteful number, since it uses less digits than its factorization.

7440158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145633 (or 145624 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7440158160 is about 86256.3514183159. The cubic root of 7440158160 is about 1952.2138485703.

It can be divided in two parts, 7440 and 158160, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 7440158160 in words is "seven billion, four hundred forty million, one hundred fifty-eight thousand, one hundred sixty".