40413443140400 has 720 divisors, whose sum is σ = 114053945080320. Its totient is φ = 13643520000000.

The previous prime is 40413443140361. The next prime is 40413443140457. The reversal of 40413443140400 is 404134431404.

It is a super-2 number, since 2×40413443140400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53812840025 + ... + 53812840775.

It is an arithmetic number, because the mean of its divisors is an integer number (158408257056).

Almost surely, 2^{40413443140400} is an apocalyptic number.

40413443140400 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 40413443140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57026972540160).

40413443140400 is an abundant number, since it is smaller than the sum of its proper divisors (73640501939920).

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

40413443140400 is a wasteful number, since it uses less digits than its factorization.

40413443140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40413443140400 its reverse (404134431404), we get a palindrome (40817577571804).

40413443140400 divided by its reverse (404134431404) gives a square (100 = 10²).

It can be divided in two parts, 404134 and 43140400, that added together give a palindrome (43544534).

The spelling of 40413443140400 in words is "forty trillion, four hundred thirteen billion, four hundred forty-three million, one hundred forty thousand, four hundred".