10142400661064 has 48 divisors (see below), whose sum is σ = 23087372772480. Its totient is φ = 4091052360960.

The previous prime is 10142400661027. The next prime is 10142400661123. The reversal of 10142400661064 is 46016600424101.

It is a super-2 number, since 2×10142400661064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313330352 + ... + 313362719.

It is an arithmetic number, because the mean of its divisors is an integer number (480986932760).

Almost surely, 2^{10142400661064} is an apocalyptic number.

10142400661064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10142400661064 is an abundant number, since it is smaller than the sum of its proper divisors (12944972111416).

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

10142400661064 is a wasteful number, since it uses less digits than its factorization.

10142400661064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626693118 (or 626693097 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 10142400661064 in words is "ten trillion, one hundred forty-two billion, four hundred million, six hundred sixty-one thousand, sixty-four".