400121400 has 96 divisors (see below), whose sum is σ = 1417587840. Its totient is φ = 91455360.

The previous prime is 400121377. The next prime is 400121417. The reversal of 400121400 is 4121004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 43434 + ... + 51833.

It is an arithmetic number, because the mean of its divisors is an integer number (14766540).

Almost surely, 2^400121400 is an apocalyptic number.

400121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400121400 is an abundant number, since it is smaller than the sum of its proper divisors (1017466440).

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

400121400 is a wasteful number, since it uses less digits than its factorization.

400121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95293 (or 95284 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400121400 is about 20003.0347697543. The cubic root of 400121400 is about 736.8808324257.

Adding to 400121400 its reverse (4121004), we get a palindrome (404242404).

The spelling of 400121400 in words is "four hundred million, one hundred twenty-one thousand, four hundred".