42782414976 has 256 divisors, whose sum is σ = 147828844800. Its totient is φ = 11925135360.

The previous prime is 42782414963. The next prime is 42782415029. The reversal of 42782414976 is 67941428724.

42782414976 is a `hidden beast` number, since 42 + 78 + 2 + 41 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 970306 + ... + 1013438.

It is an arithmetic number, because the mean of its divisors is an integer number (577456425).

Almost surely, 2^42782414976 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 42782414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73914422400).

42782414976 is an abundant number, since it is smaller than the sum of its proper divisors (105046429824).

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

42782414976 is a wasteful number, since it uses less digits than its factorization.

42782414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43204 (or 43186 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 42782414976 in words is "forty-two billion, seven hundred eighty-two million, four hundred fourteen thousand, nine hundred seventy-six".