401101360 has 80 divisors (see below), whose sum is σ = 1042245792. Its totient is φ = 142284800.

The previous prime is 401101357. The next prime is 401101369. The reversal of 401101360 is 63101104.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (401101369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30522 + ... + 41638.

Almost surely, 2^401101360 is an apocalyptic number.

401101360 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 401101360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521122896).

401101360 is an abundant number, since it is smaller than the sum of its proper divisors (641144432).

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

401101360 is a wasteful number, since it uses less digits than its factorization.

401101360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 401101360 is about 20027.5150730189. The cubic root of 401101360 is about 737.4819208438.

Adding to 401101360 its reverse (63101104), we get a palindrome (464202464).

It can be divided in two parts, 401 and 101360, that added together give a square (101761 = 319²).

The spelling of 401101360 in words is "four hundred one million, one hundred one thousand, three hundred sixty".