40400412113440 has 24 divisors (see below), whose sum is σ = 95445973618380. Its totient is φ = 16160164845312.

The previous prime is 40400412113437. The next prime is 40400412113447. The reversal of 40400412113440 is 4431121400404.

It can be written as a sum of positive squares in 2 ways, for example, as 35219999406736 + 5180412706704 = 5934644^2 + 2276052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40400412113399 and 40400412113408.

It is not an unprimeable number, because it can be changed into a prime (40400412113447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126251287695 + ... + 126251288014.

Almost surely, 2^{40400412113440} is an apocalyptic number.

40400412113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400412113440 is an abundant number, since it is smaller than the sum of its proper divisors (55045561504940).

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

40400412113440 is a wasteful number, since it uses less digits than its factorization.

40400412113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252502575724 (or 252502575716 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40400412113440 its reverse (4431121400404), we get a palindrome (44831533513844).

It can be divided in two parts, 404004 and 12113440, that added together give a square (12517444 = 3538²).

The spelling of 40400412113440 in words is "forty trillion, four hundred billion, four hundred twelve million, one hundred thirteen thousand, four hundred forty".