400188469600 has 144 divisors (see below), whose sum is σ = 1015113934800. Its totient is φ = 153872660480.

The previous prime is 400188469561. The next prime is 400188469669. The reversal of 400188469600 is 6964881004.

It is a super-2 number, since 2×400188469600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5228406 + ... + 5304394.

It is an arithmetic number, because the mean of its divisors is an integer number (7049402325).

Almost surely, 2^400188469600 is an apocalyptic number.

400188469600 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 400188469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507556967400).

400188469600 is an abundant number, since it is smaller than the sum of its proper divisors (614925465200).

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

400188469600 is a wasteful number, since it uses less digits than its factorization.

400188469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76265 (or 76252 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 400188469600 in words is "four hundred billion, one hundred eighty-eight million, four hundred sixty-nine thousand, six hundred".