401113033440 has 384 divisors, whose sum is σ = 1564515025920. Its totient is φ = 84282605568.

The previous prime is 401113033427. The next prime is 401113033463. The reversal of 401113033440 is 44330311104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401113033440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2374506 + ... + 2537814.

It is an arithmetic number, because the mean of its divisors is an integer number (4074257880).

Almost surely, 2^401113033440 is an apocalyptic number.

401113033440 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 401113033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782257512960).

401113033440 is an abundant number, since it is smaller than the sum of its proper divisors (1163401992480).

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

401113033440 is a wasteful number, since it uses less digits than its factorization.

401113033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163394 (or 163386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 401113033440 its reverse (44330311104), we get a palindrome (445443344544).

The spelling of 401113033440 in words is "four hundred one billion, one hundred thirteen million, thirty-three thousand, four hundred forty".