10320415440 has 80 divisors (see below), whose sum is σ = 33677160000. Its totient is φ = 2607261696.

The previous prime is 10320415433. The next prime is 10320415451. The reversal of 10320415440 is 4451402301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10320415440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127065 + ... + 1136184.

It is an arithmetic number, because the mean of its divisors is an integer number (420964500).

Almost surely, 2^10320415440 is an apocalyptic number.

10320415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320415440 is an abundant number, since it is smaller than the sum of its proper divisors (23356744560).

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

10320415440 is a wasteful number, since it uses less digits than its factorization.

10320415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263284 (or 2263278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10320415440 its reverse (4451402301), we get a palindrome (14771817741).

The spelling of 10320415440 in words is "ten billion, three hundred twenty million, four hundred fifteen thousand, four hundred forty".