4000320113040 has 120 divisors (see below), whose sum is σ = 13446083109888. Its totient is φ = 1065825004800.

The previous prime is 4000320112973. The next prime is 4000320113077. The reversal of 4000320113040 is 403110230004.

4000320113040 is a `hidden beast` number, since 40 + 0 + 0 + 320 + 1 + 1 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4000320113040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584834 + ... + 3242273.

Almost surely, 2^{4000320113040} is an apocalyptic number.

4000320113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000320113040 is an abundant number, since it is smaller than the sum of its proper divisors (9445762996848).

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

4000320113040 is a wasteful number, since it uses less digits than its factorization.

4000320113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828277 (or 4828268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4000320113040 its reverse (403110230004), we get a palindrome (4403430343044).

The spelling of 4000320113040 in words is "four trillion, three hundred twenty million, one hundred thirteen thousand, forty".