401110522400 has 144 divisors (see below), whose sum is σ = 1119410228160. Its totient is φ = 137485286400.

The previous prime is 401110522399. The next prime is 401110522427. The reversal of 401110522400 is 4225011104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 26261966 + ... + 26277234.

It is an arithmetic number, because the mean of its divisors is an integer number (7773682140).

Almost surely, 2^401110522400 is an apocalyptic number.

401110522400 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 401110522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559705114080).

401110522400 is an abundant number, since it is smaller than the sum of its proper divisors (718299705760).

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

401110522400 is a wasteful number, since it uses less digits than its factorization.

401110522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19987 (or 19974 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 401110522400 its reverse (4225011104), we get a palindrome (405335533504).

The spelling of 401110522400 in words is "four hundred one billion, one hundred ten million, five hundred twenty-two thousand, four hundred".