42493417978176 has 448 divisors, whose sum is σ = 141326991025920. Its totient is φ = 12562706534400.

The previous prime is 42493417978169. The next prime is 42493417978201. The reversal of 42493417978176 is 67187971439424.

42493417978176 is a `hidden beast` number, since 4 + 2 + 49 + 3 + 417 + 97 + 81 + 7 + 6 = 666.

It is a super-2 number, since 2×42493417978176² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 62788990 + ... + 63462146.

It is an arithmetic number, because the mean of its divisors is an integer number (315462033540).

Almost surely, 2^{42493417978176} 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 42493417978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70663495512960).

42493417978176 is an abundant number, since it is smaller than the sum of its proper divisors (98833573047744).

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

42493417978176 is an equidigital number, since it uses as much as digits as its factorization.

42493417978176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673242 (or 673214 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 42493417978176 in words is "forty-two trillion, four hundred ninety-three billion, four hundred seventeen million, nine hundred seventy-eight thousand, one hundred seventy-six".