46442560320 has 336 divisors, whose sum is σ = 181088019840. Its totient is φ = 10830163968.

The previous prime is 46442560309. The next prime is 46442560327. The reversal of 46442560320 is 2306524464.

46442560320 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 25 + 603 + 20 = 666.

It is a super-2 number, since 2×46442560320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46442560327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678717 + ... + 744003.

It is an arithmetic number, because the mean of its divisors is an integer number (538952440).

Almost surely, 2^46442560320 is an apocalyptic number.

46442560320 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 46442560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90544009920).

46442560320 is an abundant number, since it is smaller than the sum of its proper divisors (134645459520).

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

46442560320 is a wasteful number, since it uses less digits than its factorization.

46442560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65342 (or 65329 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 46442560320 in words is "forty-six billion, four hundred forty-two million, five hundred sixty thousand, three hundred twenty".