401241322145440 has 192 divisors, whose sum is σ = 1086273705194496. Its totient is φ = 137197707558912.

The previous prime is 401241322145437. The next prime is 401241322145441. The reversal of 401241322145440 is 44541223142104.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 401241322145440.

It is not an unprimeable number, because it can be changed into a prime (401241322145441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971056324 + ... + 971469436.

It is an arithmetic number, because the mean of its divisors is an integer number (5657675547888).

Almost surely, 2^{401241322145440} is an apocalyptic number.

401241322145440 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 401241322145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543136852597248).

401241322145440 is an abundant number, since it is smaller than the sum of its proper divisors (685032383049056).

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

401241322145440 is a wasteful number, since it uses less digits than its factorization.

401241322145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415471 (or 415463 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 401241322145440 its reverse (44541223142104), we get a palindrome (445782545287544).

The spelling of 401241322145440 in words is "four hundred one trillion, two hundred forty-one billion, three hundred twenty-two million, one hundred forty-five thousand, four hundred forty".