42029377824 has 192 divisors, whose sum is σ = 128609510400. Its totient is φ = 11769504768.

The previous prime is 42029377799. The next prime is 42029377843. The reversal of 42029377824 is 42877392024.

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 31 ways as a sum of consecutive naturals, for example, 15025194 + ... + 15027990.

It is an arithmetic number, because the mean of its divisors is an integer number (669841200).

Almost surely, 2^42029377824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42029377824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64304755200).

42029377824 is an abundant number, since it is smaller than the sum of its proper divisors (86580132576).

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

42029377824 is a wasteful number, since it uses less digits than its factorization.

42029377824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 42029377824 in words is "forty-two billion, twenty-nine million, three hundred seventy-seven thousand, eight hundred twenty-four".