42491339488368 has 800 divisors, whose sum is σ = 130523576527872. Its totient is φ = 13385699712000.

The previous prime is 42491339488349. The next prime is 42491339488373. The reversal of 42491339488368 is 86388493319424.

42491339488368 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 133 + 9 + 488 + 3 + 6 + 8 = 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 a junction number, because it is equal to n+sod(n) for n = 42491339488296 and 42491339488305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64283417958 + ... + 64283418618.

Almost surely, 2^{42491339488368} is an apocalyptic number.

42491339488368 is a gapful number since it is divisible by the number (48) 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 42491339488368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65261788263936).

42491339488368 is an abundant number, since it is smaller than the sum of its proper divisors (88032237039504).

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

42491339488368 is an equidigital number, since it uses as much as digits as its factorization.

42491339488368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 857 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 42491339488368 in words is "forty-two trillion, four hundred ninety-one billion, three hundred thirty-nine million, four hundred eighty-eight thousand, three hundred sixty-eight".