12642238539840 has 672 divisors, whose sum is σ = 51354148898304. Its totient is φ = 2610614845440.

The previous prime is 12642238539787. The next prime is 12642238539859. The reversal of 12642238539840 is 4893583224621.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28521510 + ... + 28961370.

It is an arithmetic number, because the mean of its divisors is an integer number (76419864432).

Almost surely, 2^{12642238539840} is an apocalyptic number.

12642238539840 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 12642238539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677074449152).

12642238539840 is an abundant number, since it is smaller than the sum of its proper divisors (38711910358464).

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

12642238539840 is a wasteful number, since it uses less digits than its factorization.

12642238539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439955 (or 439938 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 12642238539840 in words is "twelve trillion, six hundred forty-two billion, two hundred thirty-eight million, five hundred thirty-nine thousand, eight hundred forty".