400111305300 has 432 divisors, whose sum is σ = 1486319091712. Its totient is φ = 88097414400.

The previous prime is 400111305289. The next prime is 400111305301. The reversal of 400111305300 is 3503111004.

400111305300 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 1 + 130 + 530 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400111305301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 43547307 + ... + 43556493.

Almost surely, 2^400111305300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400111305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743159545856).

400111305300 is an abundant number, since it is smaller than the sum of its proper divisors (1086207786412).

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

400111305300 is a wasteful number, since it uses less digits than its factorization.

400111305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 400111305300 its reverse (3503111004), we get a palindrome (403614416304).

The spelling of 400111305300 in words is "four hundred billion, one hundred eleven million, three hundred five thousand, three hundred".