10423012564640 has 144 divisors (see below), whose sum is σ = 26667101615616. Its totient is φ = 3848086195200.

The previous prime is 10423012564633. The next prime is 10423012564651. The reversal of 10423012564640 is 4646521032401.

It is a junction number, because it is equal to n+sod(n) for n = 10423012564594 and 10423012564603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390200885 + ... + 390227595.

It is an arithmetic number, because the mean of its divisors is an integer number (185188205664).

Almost surely, 2^{10423012564640} is an apocalyptic number.

10423012564640 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 10423012564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333550807808).

10423012564640 is an abundant number, since it is smaller than the sum of its proper divisors (16244089050976).

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

10423012564640 is a wasteful number, since it uses less digits than its factorization.

10423012564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41183 (or 41162 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 10423012564640 in words is "ten trillion, four hundred twenty-three billion, twelve million, five hundred sixty-four thousand, six hundred forty".