401103301200 has 480 divisors, whose sum is σ = 1489140998400. Its totient is φ = 90395688960.

The previous prime is 401103301199. The next prime is 401103301201. The reversal of 401103301200 is 2103301104.

It is an interprime number because it is at equal distance from previous prime (401103301199) and next prime (401103301201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401103301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401103301201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209671444 + ... + 209673356.

It is an arithmetic number, because the mean of its divisors is an integer number (3102377080).

Almost surely, 2^401103301200 is an apocalyptic number.

401103301200 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 401103301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744570499200).

401103301200 is an abundant number, since it is smaller than the sum of its proper divisors (1088037697200).

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

401103301200 is a wasteful number, since it uses less digits than its factorization.

401103301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 401103301200 its reverse (2103301104), we get a palindrome (403206602304).

The spelling of 401103301200 in words is "four hundred one billion, one hundred three million, three hundred one thousand, two hundred".