425142241524 has 1296 divisors, whose sum is σ = 1572276717648. Its totient is φ = 95800320000.

The previous prime is 425142241501. The next prime is 425142241543.

425142241524 is a `hidden beast` number, since 4 + 2 + 51 + 42 + 2 + 41 + 524 = 666.

425142241524 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 794225124 + 424348016400 = 28182^2 + 651420^2 .

It is a super-2 number, since 2×425142241524² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4209329074 + ... + 4209329174.

Almost surely, 2^425142241524 is an apocalyptic number.

425142241524 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 425142241524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786138358824).

425142241524 is an abundant number, since it is smaller than the sum of its proper divisors (1147134476124).

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

425142241524 is a wasteful number, since it uses less digits than its factorization.

425142241524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 425142 and 241524, that added together give a palindrome (666666).

The spelling of 425142241524 in words is "four hundred twenty-five billion, one hundred forty-two million, two hundred forty-one thousand, five hundred twenty-four".