42549880320 has 480 divisors, whose sum is σ = 151391560320. Its totient is φ = 11041505280.

The previous prime is 42549880309. The next prime is 42549880339. The reversal of 42549880320 is 2308894524.

42549880320 is a `hidden beast` number, since 4 + 2 + 549 + 8 + 80 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176555400 + ... + 176555640.

It is an arithmetic number, because the mean of its divisors is an integer number (315399084).

Almost surely, 2^42549880320 is an apocalyptic number.

42549880320 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 42549880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75695780160).

42549880320 is an abundant number, since it is smaller than the sum of its proper divisors (108841680000).

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

42549880320 is a wasteful number, since it uses less digits than its factorization.

42549880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42549880320 in words is "forty-two billion, five hundred forty-nine million, eight hundred eighty thousand, three hundred twenty".