42114262344 has 128 divisors (see below), whose sum is σ = 132147072000. Its totient is φ = 10865283840.

The previous prime is 42114262327. The next prime is 42114262361. The reversal of 42114262344 is 44326241124.

It is an interprime number because it is at equal distance from previous prime (42114262327) and next prime (42114262361).

It is a super-2 number, since 2×42114262344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198879 + ... + 351825.

It is an arithmetic number, because the mean of its divisors is an integer number (1032399000).

Almost surely, 2^42114262344 is an apocalyptic number.

42114262344 is a gapful number since it is divisible by the number (44) 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 42114262344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66073536000).

42114262344 is an abundant number, since it is smaller than the sum of its proper divisors (90032809656).

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

42114262344 is a wasteful number, since it uses less digits than its factorization.

42114262344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153123 (or 153119 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The spelling of 42114262344 in words is "forty-two billion, one hundred fourteen million, two hundred sixty-two thousand, three hundred forty-four".