42139663104 has 576 divisors, whose sum is σ = 149532106752. Its totient is φ = 10199040000.

The previous prime is 42139663079. The next prime is 42139663123. The reversal of 42139663104 is 40136693124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167886979 + ... + 167887229.

It is an arithmetic number, because the mean of its divisors is an integer number (259604352).

Almost surely, 2^42139663104 is an apocalyptic number.

42139663104 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 42139663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74766053376).

42139663104 is an abundant number, since it is smaller than the sum of its proper divisors (107392443648).

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

42139663104 is a wasteful number, since it uses less digits than its factorization.

42139663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 42139663104 in words is "forty-two billion, one hundred thirty-nine million, six hundred sixty-three thousand, one hundred four".