425742247524 has 192 divisors, whose sum is σ = 1149836083200. Its totient is φ = 121391424000.

The previous prime is 425742247507. The next prime is 425742247549.

425742247524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×425742247524² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42994974 + ... + 43004874.

It is an arithmetic number, because the mean of its divisors is an integer number (5988729600).

Almost surely, 2^425742247524 is an apocalyptic number.

425742247524 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 425742247524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574918041600).

425742247524 is an abundant number, since it is smaller than the sum of its proper divisors (724093835676).

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

425742247524 is a wasteful number, since it uses less digits than its factorization.

425742247524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10232 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The spelling of 425742247524 in words is "four hundred twenty-five billion, seven hundred forty-two million, two hundred forty-seven thousand, five hundred twenty-four".