10642621444405 has 16 divisors (see below), whose sum is σ = 12842944483824. Its totient is φ = 8466240407040.

The previous prime is 10642621444373. The next prime is 10642621444423. The reversal of 10642621444405 is 50444412624601.

It can be written as a sum of positive squares in 8 ways, for example, as 1739594809969 + 8903026634436 = 1318937^2 + 2983794^2 .

It is not a de Polignac number, because 10642621444405 - 2⁵ = 10642621444373 is a prime.

It is a super-2 number, since 2×10642621444405² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 8897457 + ... + 10022473.

It is an arithmetic number, because the mean of its divisors is an integer number (802684030239).

Almost surely, 2^{10642621444405} is an apocalyptic number.

It is an amenable number.

10642621444405 is a deficient number, since it is larger than the sum of its proper divisors (2200323039419).

10642621444405 is a wasteful number, since it uses less digits than its factorization.

10642621444405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135656.

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 10642621444405 in words is "ten trillion, six hundred forty-two billion, six hundred twenty-one million, four hundred forty-four thousand, four hundred five".