42591372151968 has 144 divisors (see below), whose sum is σ = 126398619861696. Its totient is φ = 13578423091200.

The previous prime is 42591372151921. The next prime is 42591372151981. The reversal of 42591372151968 is 86915127319524.

It is a happy number.

42591372151968 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 1 + 37 + 21 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63262171 + ... + 63931877.

It is an arithmetic number, because the mean of its divisors is an integer number (877768193484).

Almost surely, 2^{42591372151968} is an apocalyptic number.

42591372151968 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 42591372151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63199309930848).

42591372151968 is an abundant number, since it is smaller than the sum of its proper divisors (83807247709728).

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

42591372151968 is a wasteful number, since it uses less digits than its factorization.

42591372151968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679347 (or 679336 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 42591372151968 in words is "forty-two trillion, five hundred ninety-one billion, three hundred seventy-two million, one hundred fifty-one thousand, nine hundred sixty-eight".