42725146464 has 864 divisors, whose sum is σ = 170797536000. Its totient is φ = 10223262720.

The previous prime is 42725146459. The next prime is 42725146507. The reversal of 42725146464 is 46464152724.

It is a happy number.

42725146464 is a `hidden beast` number, since 4 + 2 + 72 + 514 + 6 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85621287 + ... + 85621785.

Almost surely, 2^42725146464 is an apocalyptic number.

42725146464 is a gapful number since it is divisible by the number (44) 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 42725146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85398768000).

42725146464 is an abundant number, since it is smaller than the sum of its proper divisors (128072389536).

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

42725146464 is a wasteful number, since it uses less digits than its factorization.

42725146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 535 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 42725146464 in words is "forty-two billion, seven hundred twenty-five million, one hundred forty-six thousand, four hundred sixty-four".