42462455426424 has 128 divisors (see below), whose sum is σ = 136243172620800. Its totient is φ = 12110504209920.

The previous prime is 42462455426399. The next prime is 42462455426471.

42462455426424 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 2 + 4 + 554 + 2 + 64 + 24 = 666.

42462455426424 is nontrivially palindromic in base 10.

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

It is a congruent number.

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, 525589132 + ... + 525669915.

It is an arithmetic number, because the mean of its divisors is an integer number (1064399786100).

Almost surely, 2^{42462455426424} is an apocalyptic number.

42462455426424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42462455426424 is an abundant number, since it is smaller than the sum of its proper divisors (93780717194376).

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

42462455426424 is a wasteful number, since it uses less digits than its factorization.

42462455426424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051259090 (or 1051259080 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 42462455426424 in words is "forty-two trillion, four hundred sixty-two billion, four hundred fifty-five million, four hundred twenty-six thousand, four hundred twenty-four".