42456266496 has 216 divisors, whose sum is σ = 142541773920. Its totient is φ = 11901247488.

The previous prime is 42456266453. The next prime is 42456266519. The reversal of 42456266496 is 69466265424.

42456266496 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 626 + 6 + 4 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829950 + ... + 879618.

It is an arithmetic number, because the mean of its divisors is an integer number (659915620).

Almost surely, 2^42456266496 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 42456266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71270886960).

42456266496 is an abundant number, since it is smaller than the sum of its proper divisors (100085507424).

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

42456266496 is a wasteful number, since it uses less digits than its factorization.

42456266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49751 (or 49734 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 42456266496 in words is "forty-two billion, four hundred fifty-six million, two hundred sixty-six thousand, four hundred ninety-six".