7942139040 has 384 divisors, whose sum is σ = 28182276864. Its totient is φ = 1863680000.

The previous prime is 7942139021. The next prime is 7942139041. The reversal of 7942139040 is 409312497.

It is a super-3 number, since 3×7942139040³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7942139040.

It is not an unprimeable number, because it can be changed into a prime (7942139041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28263700 + ... + 28263980.

It is an arithmetic number, because the mean of its divisors is an integer number (73391346).

Almost surely, 2^7942139040 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 7942139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091138432).

7942139040 is an abundant number, since it is smaller than the sum of its proper divisors (20240137824).

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

7942139040 is a wasteful number, since it uses less digits than its factorization.

7942139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7942139040 is about 89118.6795234310. The cubic root of 7942139040 is about 1995.1665817773.

The spelling of 7942139040 in words is "seven billion, nine hundred forty-two million, one hundred thirty-nine thousand, forty".