400001123400 has 96 divisors (see below), whose sum is σ = 1266386624640. Its totient is φ = 104397448960.

The previous prime is 400001123383. The next prime is 400001123437. The reversal of 400001123400 is 4321100004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400001123400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7064019 + ... + 7120418.

It is an arithmetic number, because the mean of its divisors is an integer number (13191527340).

Almost surely, 2^400001123400 is an apocalyptic number.

400001123400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400001123400 is an abundant number, since it is smaller than the sum of its proper divisors (866385501240).

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

400001123400 is a wasteful number, since it uses less digits than its factorization.

400001123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184503 (or 14184494 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 400001123400 its reverse (4321100004), we get a palindrome (404322223404).

The spelling of 400001123400 in words is "four hundred billion, one million, one hundred twenty-three thousand, four hundred".