4010015116800 has 4320 divisors, whose sum is σ = 20002632249600. Its totient is φ = 781730611200.

The previous prime is 4010015116787. The next prime is 4010015116841. The reversal of 4010015116800 is 86115100104.

4010015116800 is a `hidden beast` number, since 40 + 100 + 1 + 511 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 38932185549 + ... + 38932185651.

Almost surely, 2^{4010015116800} is an apocalyptic number.

4010015116800 is a gapful number since it is divisible by the number (40) 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 4010015116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001316124800).

4010015116800 is an abundant number, since it is smaller than the sum of its proper divisors (15992617132800).

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

4010015116800 is a wasteful number, since it uses less digits than its factorization.

4010015116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

It can be divided in two parts, 401001 and 5116800, that added together give a square (5517801 = 2349²).

The spelling of 4010015116800 in words is "four trillion, ten billion, fifteen million, one hundred sixteen thousand, eight hundred".