10645440626240 has 448 divisors, whose sum is σ = 30226194551808. Its totient is φ = 3495260160000.

The previous prime is 10645440626221. The next prime is 10645440626287. The reversal of 10645440626240 is 4262604454601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10645440626240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645440626191 and 10645440626200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448158565 + ... + 1448165915.

Almost surely, 2^{10645440626240} is an apocalyptic number.

10645440626240 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 10645440626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113097275904).

10645440626240 is an abundant number, since it is smaller than the sum of its proper divisors (19580753925568).

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

10645440626240 is a wasteful number, since it uses less digits than its factorization.

10645440626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 10645440626240 in words is "ten trillion, six hundred forty-five billion, four hundred forty million, six hundred twenty-six thousand, two hundred forty".