401113440 has 288 divisors, whose sum is σ = 1685226816. Its totient is φ = 84602880.

The previous prime is 401113439. The next prime is 401113441. The reversal of 401113440 is 44311104.

It is an interprime number because it is at equal distance from previous prime (401113439) and next prime (401113441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401113441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129510 + ... + 132570.

It is an arithmetic number, because the mean of its divisors is an integer number (5851482).

Almost surely, 2^401113440 is an apocalyptic number.

401113440 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 401113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842613408).

401113440 is an abundant number, since it is smaller than the sum of its proper divisors (1284113376).

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

401113440 is a wasteful number, since it uses less digits than its factorization.

401113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401113440 is about 20027.8166558414. The cubic root of 401113440 is about 737.4893243691.

Adding to 401113440 its reverse (44311104), we get a palindrome (445424544).

The spelling of 401113440 in words is "four hundred one million, one hundred thirteen thousand, four hundred forty".