40220404002400 has 72 divisors (see below), whose sum is σ = 98790442335144. Its totient is φ = 15989461171200.

The previous prime is 40220404002377. The next prime is 40220404002403. The reversal of 40220404002400 is 420040402204.

40220404002400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40220404002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154088941 + ... + 154349740.

It is an arithmetic number, because the mean of its divisors is an integer number (1372089476877).

Almost surely, 2^{40220404002400} is an apocalyptic number.

40220404002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220404002400 is an abundant number, since it is smaller than the sum of its proper divisors (58570038332744).

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

40220404002400 is a wasteful number, since it uses less digits than its factorization.

40220404002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308438864 (or 308438851 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40220404002400 its reverse (420040402204), we get a palindrome (40640444404604).

The spelling of 40220404002400 in words is "forty trillion, two hundred twenty billion, four hundred four million, two thousand, four hundred".