10440670033680 has 80 divisors (see below), whose sum is σ = 32399003652480. Its totient is φ = 2781346284544.

The previous prime is 10440670033657. The next prime is 10440670033693. The reversal of 10440670033680 is 8633007604401.

It is a happy number.

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

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, 21891645 + ... + 22363484.

It is an arithmetic number, because the mean of its divisors is an integer number (404987545656).

Almost surely, 2^{10440670033680} is an apocalyptic number.

10440670033680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440670033680 is an abundant number, since it is smaller than the sum of its proper divisors (21958333618800).

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

10440670033680 is a wasteful number, since it uses less digits than its factorization.

10440670033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44256128 (or 44256122 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 10440670033680 in words is "ten trillion, four hundred forty billion, six hundred seventy million, thirty-three thousand, six hundred eighty".