400223032014400 has 336 divisors, whose sum is σ = 1128026574178560. Its totient is φ = 136909731225600.

The previous prime is 400223032014343. The next prime is 400223032014419. The reversal of 400223032014400 is 4410230322004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8989915341 + ... + 8989959859.

It is an arithmetic number, because the mean of its divisors is an integer number (3357221946960).

Almost surely, 2^{400223032014400} is an apocalyptic number.

400223032014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400223032014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564013287089280).

400223032014400 is an abundant number, since it is smaller than the sum of its proper divisors (727803542164160).

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

400223032014400 is a wasteful number, since it uses less digits than its factorization.

400223032014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46342 (or 46327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 400223032014400 its reverse (4410230322004), we get a palindrome (404633262336404).

The spelling of 400223032014400 in words is "four hundred trillion, two hundred twenty-three billion, thirty-two million, fourteen thousand, four hundred".