42419994624 has 720 divisors, whose sum is σ = 155394220800. Its totient is φ = 11370627072.

The previous prime is 42419994611. The next prime is 42419994649. The reversal of 42419994624 is 42649991424.

42419994624 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 9 + 9 + 9 + 4 + 624 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411844557 + ... + 411844659.

Almost surely, 2^42419994624 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 42419994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77697110400).

42419994624 is an abundant number, since it is smaller than the sum of its proper divisors (112974226176).

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

42419994624 is a wasteful number, since it uses less digits than its factorization.

42419994624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 42419994624 in words is "forty-two billion, four hundred nineteen million, nine hundred ninety-four thousand, six hundred twenty-four".