42641819280 has 160 divisors (see below), whose sum is σ = 147087014400. Its totient is φ = 11354923008.

The previous prime is 42641819273. The next prime is 42641819333. The reversal of 42641819280 is 8291814624.

42641819280 is a `hidden beast` number, since 42 + 6 + 418 + 192 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 1539312 + ... + 1566768.

It is an arithmetic number, because the mean of its divisors is an integer number (919293840).

Almost surely, 2^42641819280 is an apocalyptic number.

42641819280 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 42641819280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543507200).

42641819280 is an abundant number, since it is smaller than the sum of its proper divisors (104445195120).

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

42641819280 is a wasteful number, since it uses less digits than its factorization.

42641819280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28198 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42641819280 in words is "forty-two billion, six hundred forty-one million, eight hundred nineteen thousand, two hundred eighty".