42430248756 has 216 divisors, whose sum is σ = 128250649800. Its totient is φ = 11793358080.

The previous prime is 42430248719. The next prime is 42430248787. The reversal of 42430248756 is 65784203424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18632250000 + 23797998756 = 136500^2 + 154266^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121576470 + ... + 121576818.

Almost surely, 2^42430248756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430248756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125324900).

42430248756 is an abundant number, since it is smaller than the sum of its proper divisors (85820401044).

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

42430248756 is a wasteful number, since it uses less digits than its factorization.

42430248756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 402 counting only the distinct ones).

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

The spelling of 42430248756 in words is "forty-two billion, four hundred thirty million, two hundred forty-eight thousand, seven hundred fifty-six".