1965408740 has 24 divisors (see below), whose sum is σ = 4223345280. Its totient is φ = 767880288.

The previous prime is 1965408737. The next prime is 1965408749. The reversal of 1965408740 is 478045691.

It is a junction number, because it is equal to n+sod(n) for n = 1965408691 and 1965408700.

It is not an unprimeable number, because it can be changed into a prime (1965408749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141820 + ... + 1143539.

It is an arithmetic number, because the mean of its divisors is an integer number (175972720).

Almost surely, 2^1965408740 is an apocalyptic number.

1965408740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1965408740 is an abundant number, since it is smaller than the sum of its proper divisors (2257936540).

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

1965408740 is a wasteful number, since it uses less digits than its factorization.

1965408740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285411 (or 2285409 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 1965408740 is about 44332.9306498003. The cubic root of 1965408740 is about 1252.6150565683.

The spelling of 1965408740 in words is "one billion, nine hundred sixty-five million, four hundred eight thousand, seven hundred forty".