10242479136 has 72 divisors (see below), whose sum is σ = 27471301200. Its totient is φ = 3341448832.

The previous prime is 10242479113. The next prime is 10242479147. The reversal of 10242479136 is 63197424201.

It is a junction number, because it is equal to n+sod(n) for n = 10242479094 and 10242479103.

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, 187915 + ... + 236213.

It is an arithmetic number, because the mean of its divisors is an integer number (381545850).

Almost surely, 2^10242479136 is an apocalyptic number.

10242479136 is a gapful number since it is divisible by the number (16) 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 10242479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735650600).

10242479136 is an abundant number, since it is smaller than the sum of its proper divisors (17228822064).

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

10242479136 is an equidigital number, since it uses as much as digits as its factorization.

10242479136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48406 (or 48351 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10242479136 in words is "ten billion, two hundred forty-two million, four hundred seventy-nine thousand, one hundred thirty-six".