400320014033440 has 192 divisors, whose sum is σ = 959433672960000. Its totient is φ = 157832123166720.

The previous prime is 400320014033437. The next prime is 400320014033473. The reversal of 400320014033440 is 44330410023004.

It is a super-2 number, since 2×400320014033440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400320014033399 and 400320014033408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162057986 + ... + 2162243134.

It is an arithmetic number, because the mean of its divisors is an integer number (4997050380000).

Almost surely, 2^{400320014033440} is an apocalyptic number.

400320014033440 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 400320014033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479716836480000).

400320014033440 is an abundant number, since it is smaller than the sum of its proper divisors (559113658926560).

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

400320014033440 is a wasteful number, since it uses less digits than its factorization.

400320014033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186003 (or 185995 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 400320014033440 its reverse (44330410023004), we get a palindrome (444650424056444).

The spelling of 400320014033440 in words is "four hundred trillion, three hundred twenty billion, fourteen million, thirty-three thousand, four hundred forty".