42492684000 has 576 divisors, whose sum is σ = 157464373248. Its totient is φ = 9993984000.

The previous prime is 42492683983. The next prime is 42492684029. The reversal of 42492684000 is 48629424.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42492684000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46643545 + ... + 46644455.

It is an arithmetic number, because the mean of its divisors is an integer number (273375648).

Almost surely, 2^42492684000 is an apocalyptic number.

42492684000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42492684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78732186624).

42492684000 is an abundant number, since it is smaller than the sum of its proper divisors (114971689248).

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

42492684000 is a wasteful number, since it uses less digits than its factorization.

42492684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 42492684000 in words is "forty-two billion, four hundred ninety-two million, six hundred eighty-four thousand".