242425004016 has 160 divisors (see below), whose sum is σ = 691443744768. Its totient is φ = 72714516480.

The previous prime is 242425003981. The next prime is 242425004021. The reversal of 242425004016 is 610400524242.

It is a super-2 number, since 2×242425004016² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40087105 + ... + 40093151.

Almost surely, 2^242425004016 is an apocalyptic number.

242425004016 is a gapful number since it is divisible by the number (26) 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 242425004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345721872384).

242425004016 is an abundant number, since it is smaller than the sum of its proper divisors (449018740752).

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

242425004016 is a wasteful number, since it uses less digits than its factorization.

242425004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242425004016 its reverse (610400524242), we get a palindrome (852825528258).

The spelling of 242425004016 in words is "two hundred forty-two billion, four hundred twenty-five million, four thousand, sixteen".