10344660480 has 1200 divisors, whose sum is σ = 48276646704. Its totient is φ = 2023096320.

The previous prime is 10344660437. The next prime is 10344660493. The reversal of 10344660480 is 8406644301.

10344660480 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 46 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 608509432 + ... + 608509448.

Almost surely, 2^10344660480 is an apocalyptic number.

10344660480 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 10344660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24138323352).

10344660480 is an abundant number, since it is smaller than the sum of its proper divisors (37931986224).

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

10344660480 is an equidigital number, since it uses as much as digits as its factorization.

10344660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10344660480 in words is "ten billion, three hundred forty-four million, six hundred sixty thousand, four hundred eighty".