10240479144 has 96 divisors (see below), whose sum is σ = 32469877440. Its totient is φ = 2854483200.

The previous prime is 10240479079. The next prime is 10240479149. The reversal of 10240479144 is 44197404201.

10240479144 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 479 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10240479099 and 10240479108.

It is not an unprimeable number, because it can be changed into a prime (10240479149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227122 + ... + 268449.

It is an arithmetic number, because the mean of its divisors is an integer number (338227890).

Almost surely, 2^10240479144 is an apocalyptic number.

10240479144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10240479144 is an abundant number, since it is smaller than the sum of its proper divisors (22229398296).

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

10240479144 is a wasteful number, since it uses less digits than its factorization.

10240479144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495631 (or 495624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10240479144 in words is "ten billion, two hundred forty million, four hundred seventy-nine thousand, one hundred forty-four".