42048716709888 has 1792 divisors, whose sum is σ = 158031728640000. Its totient is φ = 11002753843200.

The previous prime is 42048716709863. The next prime is 42048716709931. The reversal of 42048716709888 is 88890761784024.

42048716709888 is a `hidden beast` number, since 4 + 2 + 0 + 487 + 1 + 67 + 0 + 9 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44685139498 + ... + 44685140438.

Almost surely, 2^{42048716709888} is an apocalyptic number.

42048716709888 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 42048716709888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79015864320000).

42048716709888 is an abundant number, since it is smaller than the sum of its proper divisors (115983011930112).

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

42048716709888 is an equidigital number, since it uses as much as digits as its factorization.

42048716709888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 42048716709888 in words is "forty-two trillion, forty-eight billion, seven hundred sixteen million, seven hundred nine thousand, eight hundred eighty-eight".