42829163520 has 1408 divisors, whose sum is σ = 180652695552. Its totient is φ = 8493465600.

The previous prime is 42829163477. The next prime is 42829163527. The reversal of 42829163520 is 2536192824.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (42829163527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157544942 + ... + 1157544978.

Almost surely, 2^42829163520 is an apocalyptic number.

42829163520 is a gapful number since it is divisible by the number (40) 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 42829163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90326347776).

42829163520 is an abundant number, since it is smaller than the sum of its proper divisors (137823532032).

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

42829163520 is a wasteful number, since it uses less digits than its factorization.

42829163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 42829163520 in words is "forty-two billion, eight hundred twenty-nine million, one hundred sixty-three thousand, five hundred twenty".