401101400 has 192 divisors, whose sum is σ = 1189209600. Its totient is φ = 122480640.

The previous prime is 401101397. The next prime is 401101427. The reversal of 401101400 is 4101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451757 + ... + 452643.

It is an arithmetic number, because the mean of its divisors is an integer number (6193800).

Almost surely, 2^401101400 is an apocalyptic number.

401101400 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 401101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594604800).

401101400 is an abundant number, since it is smaller than the sum of its proper divisors (788108200).

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

401101400 is a wasteful number, since it uses less digits than its factorization.

401101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 401101400 is about 20027.5160716450. The cubic root of 401101400 is about 737.4819453590.

Adding to 401101400 its reverse (4101104), we get a palindrome (405202504).

The spelling of 401101400 in words is "four hundred one million, one hundred one thousand, four hundred".