42457810472784 has 1440 divisors, whose sum is σ = 151987897152000. Its totient is φ = 11423843278848.

The previous prime is 42457810472773. The next prime is 42457810472849. The reversal of 42457810472784 is 48727401875424.

42457810472784 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 7 + 81 + 0 + 472 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38845205742 + ... + 38845206834.

It is an arithmetic number, because the mean of its divisors is an integer number (105547150800).

Almost surely, 2^{42457810472784} 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 42457810472784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75993948576000).

42457810472784 is an abundant number, since it is smaller than the sum of its proper divisors (109530086679216).

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

42457810472784 is a wasteful number, since it uses less digits than its factorization.

42457810472784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 112394240, while the sum is 63.

The spelling of 42457810472784 in words is "forty-two trillion, four hundred fifty-seven billion, eight hundred ten million, four hundred seventy-two thousand, seven hundred eighty-four".