74282127584040 has 128 divisors (see below), whose sum is σ = 247741157664000. Its totient is φ = 19797842098944.

The previous prime is 74282127583981. The next prime is 74282127584059. The reversal of 74282127584040 is 4048572128247.

74282127584040 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 2 + 12 + 7 + 584 + 0 + 40 = 666.

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

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, 16624555 + ... + 20614074.

It is an arithmetic number, because the mean of its divisors is an integer number (1935477794250).

Almost surely, 2^{74282127584040} is an apocalyptic number.

It is an amenable number.

74282127584040 is an abundant number, since it is smaller than the sum of its proper divisors (173459030079960).

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

74282127584040 is a wasteful number, since it uses less digits than its factorization.

74282127584040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37240496 (or 37240486 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 74282127584040 in words is "seventy-four trillion, two hundred eighty-two billion, one hundred twenty-seven million, five hundred eighty-four thousand, forty".