40321411400 has 48 divisors (see below), whose sum is σ = 93818863140. Its totient is φ = 16116249600.

The previous prime is 40321411387. The next prime is 40321411409. The reversal of 40321411400 is 411412304.

40321411400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34989198916 + 5332212484 = 187054^2 + 73022^2 .

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 (40321411409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187892 + ... + 340508.

Almost surely, 2^40321411400 is an apocalyptic number.

40321411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40321411400 is an abundant number, since it is smaller than the sum of its proper divisors (53497451740).

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

40321411400 is a wasteful number, since it uses less digits than its factorization.

40321411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153954 (or 153945 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40321411400 its reverse (411412304), we get a palindrome (40732823704).

The spelling of 40321411400 in words is "forty billion, three hundred twenty-one million, four hundred eleven thousand, four hundred".