4005303155040 has 96 divisors (see below), whose sum is σ = 13763678132736. Its totient is φ = 970982581760.

The previous prime is 4005303154967. The next prime is 4005303155041. The reversal of 4005303155040 is 405513035004.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4005303154989 and 4005303155007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005303155041) 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, 379284792 + ... + 379295351.

It is an arithmetic number, because the mean of its divisors is an integer number (143371647216).

Almost surely, 2^{4005303155040} is an apocalyptic number.

4005303155040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005303155040 is an abundant number, since it is smaller than the sum of its proper divisors (9758374977696).

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

4005303155040 is a wasteful number, since it uses less digits than its factorization.

4005303155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758580172 (or 758580164 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 4005303155040 in words is "four trillion, five billion, three hundred three million, one hundred fifty-five thousand, forty".