3005401115040 has 96 divisors (see below), whose sum is σ = 9501190876800. Its totient is φ = 798546975744.

The previous prime is 3005401115029. The next prime is 3005401115047. The reversal of 3005401115040 is 405111045003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3005401115040.

It is not an unprimeable number, because it can be changed into a prime (3005401115047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11168940 + ... + 11434859.

It is an arithmetic number, because the mean of its divisors is an integer number (98970738300).

Almost surely, 2^{3005401115040} is an apocalyptic number.

3005401115040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005401115040 is an abundant number, since it is smaller than the sum of its proper divisors (6495789761760).

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

3005401115040 is a wasteful number, since it uses less digits than its factorization.

3005401115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22604094 (or 22604086 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 3005401115040 in words is "three trillion, five billion, four hundred one million, one hundred fifteen thousand, forty".