1965628013040 has 320 divisors, whose sum is σ = 6856481157120. Its totient is φ = 517536276480.

The previous prime is 1965628013033. The next prime is 1965628013059. The reversal of 1965628013040 is 403108265691.

1965628013040 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 628 + 0 + 13 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90292237 + ... + 90314003.

It is an arithmetic number, because the mean of its divisors is an integer number (21426503616).

Almost surely, 2^{1965628013040} is an apocalyptic number.

1965628013040 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 1965628013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428240578560).

1965628013040 is an abundant number, since it is smaller than the sum of its proper divisors (4890853144080).

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

1965628013040 is a wasteful number, since it uses less digits than its factorization.

1965628013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22317 (or 22305 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1965628013040 in words is "one trillion, nine hundred sixty-five billion, six hundred twenty-eight million, thirteen thousand, forty".