3801065111460 has 144 divisors (see below), whose sum is σ = 12629096953200. Its totient is φ = 921096486912.

The previous prime is 3801065111449. The next prime is 3801065111461. The reversal of 3801065111460 is 641115601083.

It is a happy number.

3801065111460 is a `hidden beast` number, since 3 + 80 + 1 + 0 + 6 + 5 + 111 + 460 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 180516216384 + 3620548895076 = 424872^2 + 1902774^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3801065111461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21328125 + ... + 21505604.

It is an arithmetic number, because the mean of its divisors is an integer number (87702062175).

Almost surely, 2^{3801065111460} is an apocalyptic number.

3801065111460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3801065111460 is an abundant number, since it is smaller than the sum of its proper divisors (8828031841740).

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

3801065111460 is a wasteful number, since it uses less digits than its factorization.

3801065111460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42833790 (or 42833785 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 3801065111460 in words is "three trillion, eight hundred one billion, sixty-five million, one hundred eleven thousand, four hundred sixty".