42451057782 has 144 divisors (see below), whose sum is σ = 116351108640. Its totient is φ = 11106740736.

The previous prime is 42451057763. The next prime is 42451057807. The reversal of 42451057782 is 28775015424.

42451057782 is a `hidden beast` number, since 4 + 2 + 4 + 510 + 57 + 7 + 82 = 666.

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, 516519 + ... + 593037.

It is an arithmetic number, because the mean of its divisors is an integer number (807993810).

Almost surely, 2^42451057782 is an apocalyptic number.

42451057782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42451057782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58175554320).

42451057782 is an abundant number, since it is smaller than the sum of its proper divisors (73900050858).

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

42451057782 is a wasteful number, since it uses less digits than its factorization.

42451057782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76595 (or 76585 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 42451057782 in words is "forty-two billion, four hundred fifty-one million, fifty-seven thousand, seven hundred eighty-two".