616144331040 has 192 divisors, whose sum is σ = 2235053399040. Its totient is φ = 139757829120.

The previous prime is 616144331027. The next prime is 616144331069. The reversal of 616144331040 is 40133441616.

It is a junction number, because it is equal to n+sod(n) for n = 616144330992 and 616144331010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259750 + ... + 1140069.

It is an arithmetic number, because the mean of its divisors is an integer number (11640903120).

Almost surely, 2^616144331040 is an apocalyptic number.

616144331040 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 616144331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117526699520).

616144331040 is an abundant number, since it is smaller than the sum of its proper divisors (1618909068000).

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

616144331040 is a wasteful number, since it uses less digits than its factorization.

616144331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399975 (or 1399967 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 616144331040 its reverse (40133441616), we get a palindrome (656277772656).

The spelling of 616144331040 in words is "six hundred sixteen billion, one hundred forty-four million, three hundred thirty-one thousand, forty".