400033441113400 has 96 divisors (see below), whose sum is σ = 930365663590080. Its totient is φ = 159963851520000.

The previous prime is 400033441113349. The next prime is 400033441113407. The reversal of 400033441113400 is 4311144330004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400033441113407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10449902260 + ... + 10449940540.

It is an arithmetic number, because the mean of its divisors is an integer number (9691308995730).

Almost surely, 2^{400033441113400} is an apocalyptic number.

400033441113400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400033441113400 is an abundant number, since it is smaller than the sum of its proper divisors (530332222476680).

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

400033441113400 is a wasteful number, since it uses less digits than its factorization.

400033441113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53105 (or 53096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 400033441113400 its reverse (4311144330004), we get a palindrome (404344585443404).

The spelling of 400033441113400 in words is "four hundred trillion, thirty-three billion, four hundred forty-one million, one hundred thirteen thousand, four hundred".