42493489482816 has 448 divisors, whose sum is σ = 137359441612800. Its totient is φ = 12822068109312.

The previous prime is 42493489482803. The next prime is 42493489482833. The reversal of 42493489482816 is 61828498439424.

42493489482816 is a `hidden beast` number, since 4 + 2 + 4 + 93 + 48 + 9 + 482 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 730187416 + ... + 730245608.

Almost surely, 2^{42493489482816} is an apocalyptic number.

42493489482816 is a gapful number since it is divisible by the number (46) 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 42493489482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68679720806400).

42493489482816 is an abundant number, since it is smaller than the sum of its proper divisors (94865952129984).

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

42493489482816 is a wasteful number, since it uses less digits than its factorization.

42493489482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59223 (or 59207 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 42493489482816 in words is "forty-two trillion, four hundred ninety-three billion, four hundred eighty-nine million, four hundred eighty-two thousand, eight hundred sixteen".