404001401200 has 120 divisors (see below), whose sum is σ = 1010825928000. Its totient is φ = 154980295680.

The previous prime is 404001401159. The next prime is 404001401249. The reversal of 404001401200 is 2104100404.

It is a super-2 number, since 2×404001401200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611529 + ... + 1845271.

It is an arithmetic number, because the mean of its divisors is an integer number (8423549400).

Almost surely, 2^404001401200 is an apocalyptic number.

404001401200 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 404001401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505412964000).

404001401200 is an abundant number, since it is smaller than the sum of its proper divisors (606824526800).

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

404001401200 is a wasteful number, since it uses less digits than its factorization.

404001401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233939 (or 233928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 404001401200 its reverse (2104100404), we get a palindrome (406105501604).

The spelling of 404001401200 in words is "four hundred four billion, one million, four hundred one thousand, two hundred".