4001804367120 has 960 divisors, whose sum is σ = 17271251712000. Its totient is φ = 846385376256.

The previous prime is 4001804367103. The next prime is 4001804367137. The reversal of 4001804367120 is 217634081004.

4001804367120 is a `hidden beast` number, since 40 + 0 + 180 + 436 + 7 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4001804367103) and next prime (4001804367137).

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

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 191 ways as a sum of consecutive naturals, for example, 86448141 + ... + 86494419.

It is an arithmetic number, because the mean of its divisors is an integer number (17990887200).

Almost surely, 2^{4001804367120} is an apocalyptic number.

4001804367120 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 4001804367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635625856000).

4001804367120 is an abundant number, since it is smaller than the sum of its proper divisors (13269447344880).

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

4001804367120 is a wasteful number, since it uses less digits than its factorization.

4001804367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46377 (or 46358 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4001804367120 in words is "four trillion, one billion, eight hundred four million, three hundred sixty-seven thousand, one hundred twenty".