42939033984 has 1024 divisors, whose sum is σ = 167443200000. Its totient is φ = 10729635840.

The previous prime is 42939033961. The next prime is 42939034003. The reversal of 42939033984 is 48933093924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42939033984.

It is a congruent number.

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, 482461012 + ... + 482461100.

It is an arithmetic number, because the mean of its divisors is an integer number (163518750).

Almost surely, 2^42939033984 is an apocalyptic number.

42939033984 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 42939033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600000).

42939033984 is an abundant number, since it is smaller than the sum of its proper divisors (124504166016).

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

42939033984 is a wasteful number, since it uses less digits than its factorization.

42939033984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 42939033984 in words is "forty-two billion, nine hundred thirty-nine million, thirty-three thousand, nine hundred eighty-four".