7409872440 has 128 divisors (see below), whose sum is σ = 24736968000. Its totient is φ = 1972975104.

The previous prime is 7409872439. The next prime is 7409872489. The reversal of 7409872440 is 442789047.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760882 + ... + 770558.

Almost surely, 2^7409872440 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 7409872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368484000).

7409872440 is an abundant number, since it is smaller than the sum of its proper divisors (17327095560).

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

7409872440 is a wasteful number, since it uses less digits than its factorization.

7409872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7409872440 is about 86080.6159364581. The cubic root of 7409872440 is about 1949.5613687977.

The spelling of 7409872440 in words is "seven billion, four hundred nine million, eight hundred seventy-two thousand, four hundred forty".