42913161984 has 432 divisors, whose sum is σ = 146800080000. Its totient is φ = 11003166720.

The previous prime is 42913161961. The next prime is 42913162007. The reversal of 42913161984 is 48916131924.

It is a happy number.

42913161984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42913161961) and next prime (42913162007).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34357392 + ... + 34358640.

It is an arithmetic number, because the mean of its divisors is an integer number (339815000).

Almost surely, 2^42913161984 is an apocalyptic number.

42913161984 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 42913161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400040000).

42913161984 is an abundant number, since it is smaller than the sum of its proper divisors (103886918016).

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

42913161984 is a wasteful number, since it uses less digits than its factorization.

42913161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1355 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The spelling of 42913161984 in words is "forty-two billion, nine hundred thirteen million, one hundred sixty-one thousand, nine hundred eighty-four".