40413040400 has 30 divisors (see below), whose sum is σ = 97092330522. Its totient is φ = 16165216000.

The previous prime is 40413040397. The next prime is 40413040403. The reversal of 40413040400 is 404031404.

It is an interprime number because it is at equal distance from previous prime (40413040397) and next prime (40413040403).

It can be written as a sum of positive squares in 3 ways, for example, as 14163856144 + 26249184256 = 119012^2 + 162016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40413040403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50515901 + ... + 50516700.

Almost surely, 2^40413040400 is an apocalyptic number.

40413040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40413040400 is an abundant number, since it is smaller than the sum of its proper divisors (56679290122).

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

40413040400 is a wasteful number, since it uses less digits than its factorization.

40413040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101032619 (or 101032608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40413040400 its reverse (404031404), we get a palindrome (40817071804).

The spelling of 40413040400 in words is "forty billion, four hundred thirteen million, forty thousand, four hundred".