608420989440 has 1440 divisors, whose sum is σ = 2460425647680. Its totient is φ = 143937699840.

The previous prime is 608420989417. The next prime is 608420989447. The reversal of 608420989440 is 44989024806.

608420989440 is a `hidden beast` number, since 6 + 0 + 8 + 420 + 98 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×608420989440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (608420989447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4441029052 + ... + 4441029188.

It is an arithmetic number, because the mean of its divisors is an integer number (1708628922).

Almost surely, 2^608420989440 is an apocalyptic number.

608420989440 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 608420989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230212823840).

608420989440 is an abundant number, since it is smaller than the sum of its proper divisors (1852004658240).

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

608420989440 is a wasteful number, since it uses less digits than its factorization.

608420989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 608420989440 in words is "six hundred eight billion, four hundred twenty million, nine hundred eighty-nine thousand, four hundred forty".