42619322880 has 560 divisors, whose sum is σ = 157228233624. Its totient is φ = 11068047360.

The previous prime is 42619322857. The next prime is 42619322887. The reversal of 42619322880 is 8822391624.

42619322880 is a `hidden beast` number, since 4 + 2 + 619 + 3 + 2 + 28 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12908595456 + 29710727424 = 113616^2 + 172368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42619322887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76515562 + ... + 76516118.

Almost surely, 2^42619322880 is an apocalyptic number.

42619322880 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 42619322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78614116812).

42619322880 is an abundant number, since it is smaller than the sum of its proper divisors (114608910744).

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

42619322880 is an frugal number, since it uses more digits than its factorization.

42619322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42619322880 in words is "forty-two billion, six hundred nineteen million, three hundred twenty-two thousand, eight hundred eighty".