1612316440 has 128 divisors (see below), whose sum is σ = 4482662400. Its totient is φ = 509483520.

The previous prime is 1612316411. The next prime is 1612316467. The reversal of 1612316440 is 446132161.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1612316399 and 1612316408.

It is a congruent number.

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, 192745 + ... + 200935.

It is an arithmetic number, because the mean of its divisors is an integer number (35020800).

Almost surely, 2^1612316440 is an apocalyptic number.

1612316440 is a gapful number since it is divisible by the number (10) 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 1612316440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241331200).

1612316440 is an abundant number, since it is smaller than the sum of its proper divisors (2870345960).

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

1612316440 is a wasteful number, since it uses less digits than its factorization.

1612316440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1612316440 is about 40153.6603561867. The cubic root of 1612316440 is about 1172.6005514759.

The spelling of 1612316440 in words is "one billion, six hundred twelve million, three hundred sixteen thousand, four hundred forty".