400104406692 has 288 divisors, whose sum is σ = 1103566464000. Its totient is φ = 121814896896.

The previous prime is 400104406657. The next prime is 400104406703. The reversal of 400104406692 is 296604401004.

400104406692 is a `hidden beast` number, since 400 + 104 + 4 + 0 + 66 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153038463 + ... + 1153038809.

It is an arithmetic number, because the mean of its divisors is an integer number (3831828000).

Almost surely, 2^400104406692 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 400104406692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551783232000).

400104406692 is an abundant number, since it is smaller than the sum of its proper divisors (703462057308).

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

400104406692 is a wasteful number, since it uses less digits than its factorization.

400104406692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 400104406692 its reverse (296604401004), we get a palindrome (696708807696).

The spelling of 400104406692 in words is "four hundred billion, one hundred four million, four hundred six thousand, six hundred ninety-two".