42391237774872 has 256 divisors, whose sum is σ = 125473121280000. Its totient is φ = 11927310950016.

The previous prime is 42391237774861. The next prime is 42391237774883. The reversal of 42391237774872 is 27847773219324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42391237774861) and next prime (42391237774883).

It is a super-3 number, since 3×42391237774872³ (a number of 42 digits) contains 333 as substring.

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, 2121779779 + ... + 2121799757.

It is an arithmetic number, because the mean of its divisors is an integer number (490129380000).

Almost surely, 2^{42391237774872} is an apocalyptic number.

42391237774872 is a gapful number since it is divisible by the number (42) 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 42391237774872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62736560640000).

42391237774872 is an abundant number, since it is smaller than the sum of its proper divisors (83081883505128).

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

42391237774872 is a wasteful number, since it uses less digits than its factorization.

42391237774872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23923 (or 23905 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 42391237774872 in words is "forty-two trillion, three hundred ninety-one billion, two hundred thirty-seven million, seven hundred seventy-four thousand, eight hundred seventy-two".