608397409440 has 288 divisors, whose sum is σ = 2175749372160. Its totient is φ = 154517434368.

The previous prime is 608397409393. The next prime is 608397409523. The reversal of 608397409440 is 44904793806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×608397409440² (a number of 24 digits) contains 22 as substring.

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, 7677541 + ... + 7756379.

It is an arithmetic number, because the mean of its divisors is an integer number (7554685320).

Almost surely, 2^608397409440 is an apocalyptic number.

608397409440 is a gapful number since it is divisible by the number (60) 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 608397409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087874686080).

608397409440 is an abundant number, since it is smaller than the sum of its proper divisors (1567351962720).

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

608397409440 is a wasteful number, since it uses less digits than its factorization.

608397409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79116 (or 79105 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 608397409440 in words is "six hundred eight billion, three hundred ninety-seven million, four hundred nine thousand, four hundred forty".