1405115968 has 84 divisors (see below), whose sum is σ = 2993994012. Its totient is φ = 654013440.

The previous prime is 1405115963. The next prime is 1405115969. The reversal of 1405115968 is 8695115041.

It can be written as a sum of positive squares in 2 ways, for example, as 562258944 + 842857024 = 23712^2 + 29032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1405115968.

It is not an unprimeable number, because it can be changed into a prime (1405115963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408846 + ... + 1409842.

Almost surely, 2^1405115968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496997006).

1405115968 is an abundant number, since it is smaller than the sum of its proper divisors (1588878044).

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

1405115968 is an equidigital number, since it uses as much as digits as its factorization.

1405115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 1405115968 is about 37484.8765237395. The cubic root of 1405115968 is about 1120.0499467522.

The spelling of 1405115968 in words is "one billion, four hundred five million, one hundred fifteen thousand, nine hundred sixty-eight".