42416993472 has 448 divisors, whose sum is σ = 137330688000. Its totient is φ = 11535713280.

The previous prime is 42416993417. The next prime is 42416993519. The reversal of 42416993472 is 27439961424.

It is a happy number.

42416993472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×42416993472² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161281213 + ... + 161281475.

Almost surely, 2^42416993472 is an apocalyptic number.

42416993472 is a gapful number since it is divisible by the number (42) 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 42416993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68665344000).

42416993472 is an abundant number, since it is smaller than the sum of its proper divisors (94913694528).

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

42416993472 is a wasteful number, since it uses less digits than its factorization.

42416993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 42416993472 in words is "forty-two billion, four hundred sixteen million, nine hundred ninety-three thousand, four hundred seventy-two".