42407586480 has 80 divisors (see below), whose sum is σ = 150244026624. Its totient is φ = 9693162240.

The previous prime is 42407586479. The next prime is 42407586493. The reversal of 42407586480 is 8468570424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12619626 + ... + 12622985.

Almost surely, 2^42407586480 is an apocalyptic number.

42407586480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42407586480 is an abundant number, since it is smaller than the sum of its proper divisors (107836440144).

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

42407586480 is a wasteful number, since it uses less digits than its factorization.

42407586480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25242634 (or 25242628 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

It can be divided in two parts, 424075 and 86480, that added together give a triangular number (510555 = T₁₀₁₀).

The spelling of 42407586480 in words is "forty-two billion, four hundred seven million, five hundred eighty-six thousand, four hundred eighty".