4172126464 has 81 divisors (see below), whose sum is σ = 9178878891. Its totient is φ = 1891253760.

The previous prime is 4172126443. The next prime is 4172126467. The reversal of 4172126464 is 4646212714.

The square root of 4172126464 is 64592.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4172126467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11368009 + ... + 11368375.

Almost surely, 2^4172126464 is an apocalyptic number.

4172126464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4172126464 is the 64592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172126464

4172126464 is an abundant number, since it is smaller than the sum of its proper divisors (5006752427).

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

4172126464 is an frugal number, since it uses more digits than its factorization.

4172126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 380 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The cubic root of 4172126464 is about 1609.8515177548.

The spelling of 4172126464 in words is "four billion, one hundred seventy-two million, one hundred twenty-six thousand, four hundred sixty-four".