4412924292144 has 80 divisors (see below), whose sum is σ = 11773573585920. Its totient is φ = 1423222951680.

The previous prime is 4412924292109. The next prime is 4412924292167.

4412924292144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4412924292093 and 4412924292102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6622752 + ... + 7258559.

It is an arithmetic number, because the mean of its divisors is an integer number (147169669824).

Almost surely, 2^{4412924292144} is an apocalyptic number.

It is an amenable number.

4412924292144 is an abundant number, since it is smaller than the sum of its proper divisors (7360649293776).

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

4412924292144 is a wasteful number, since it uses less digits than its factorization.

4412924292144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881538 (or 13881532 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 4412924292144 in words is "four trillion, four hundred twelve billion, nine hundred twenty-four million, two hundred ninety-two thousand, one hundred forty-four".