4492126464 has 144 divisors (see below), whose sum is σ = 13701340800. Its totient is φ = 1279918080.

The previous prime is 4492126447. The next prime is 4492126493. The reversal of 4492126464 is 4646212944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2412894 + ... + 2414754.

It is an arithmetic number, because the mean of its divisors is an integer number (95148200).

Almost surely, 2^4492126464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850670400).

4492126464 is an abundant number, since it is smaller than the sum of its proper divisors (9209214336).

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

4492126464 is a wasteful number, since it uses less digits than its factorization.

4492126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2322 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4492126464 is about 67023.3277598181. The cubic root of 4492126464 is about 1650.0001792470. Note that the first 3 decimals are identical.

The spelling of 4492126464 in words is "four billion, four hundred ninety-two million, one hundred twenty-six thousand, four hundred sixty-four".