10079443440 has 320 divisors, whose sum is σ = 38041850880. Its totient is φ = 2432701440.

The previous prime is 10079443417. The next prime is 10079443471. The reversal of 10079443440 is 4434497001.

10079443440 is a `hidden beast` number, since 100 + 79 + 4 + 43 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10079443395 and 10079443404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6248074 + ... + 6249686.

It is an arithmetic number, because the mean of its divisors is an integer number (118880784).

Almost surely, 2^10079443440 is an apocalyptic number.

10079443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020925440).

10079443440 is an abundant number, since it is smaller than the sum of its proper divisors (27962407440).

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

10079443440 is a wasteful number, since it uses less digits than its factorization.

10079443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10079443440 in words is "ten billion, seventy-nine million, four hundred forty-three thousand, four hundred forty".