7939540440 has 192 divisors, whose sum is σ = 27874173600. Its totient is φ = 1948317696.

The previous prime is 7939540429. The next prime is 7939540487. The reversal of 7939540440 is 440459397.

It is a happy number.

7939540440 is a `hidden beast` number, since 79 + 39 + 540 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1621516 + ... + 1626404.

Almost surely, 2^7939540440 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 7939540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937086800).

7939540440 is an abundant number, since it is smaller than the sum of its proper divisors (19934633160).

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

7939540440 is a wasteful number, since it uses less digits than its factorization.

7939540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7939540440 is about 89104.0988956176. The cubic root of 7939540440 is about 1994.9489575574.

The spelling of 7939540440 in words is "seven billion, nine hundred thirty-nine million, five hundred forty thousand, four hundred forty".