12400387563642 has 128 divisors (see below), whose sum is σ = 27530120636928. Its totient is φ = 3699363225600.

The previous prime is 12400387563631. The next prime is 12400387563689. The reversal of 12400387563642 is 24636578300421.

It is a super-2 number, since 2×12400387563642² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335154288 + ... + 335191284.

It is an arithmetic number, because the mean of its divisors is an integer number (215079067476).

Almost surely, 2^{12400387563642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400387563642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765060318464).

12400387563642 is an abundant number, since it is smaller than the sum of its proper divisors (15129733073286).

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

12400387563642 is a wasteful number, since it uses less digits than its factorization.

12400387563642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37704.

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 12400387563642 in words is "twelve trillion, four hundred billion, three hundred eighty-seven million, five hundred sixty-three thousand, six hundred forty-two".