42641633280 has 208 divisors, whose sum is σ = 136822464000. Its totient is φ = 11338973184.

The previous prime is 42641633269. The next prime is 42641633303. The reversal of 42641633280 is 8233614624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28445971 + ... + 28447469.

Almost surely, 2^42641633280 is an apocalyptic number.

42641633280 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 42641633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68411232000).

42641633280 is an abundant number, since it is smaller than the sum of its proper divisors (94180830720).

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

42641633280 is a wasteful number, since it uses less digits than its factorization.

42641633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 42641633280 in words is "forty-two billion, six hundred forty-one million, six hundred thirty-three thousand, two hundred eighty".