404126366400 has 1680 divisors, whose sum is σ = 1667212791552. Its totient is φ = 95551488000.

The previous prime is 404126366389. The next prime is 404126366437. The reversal of 404126366400 is 4663621404.

404126366400 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 2 + 6 + 3 + 6 + 640 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 4166251152 + ... + 4166251248.

Almost surely, 2^404126366400 is an apocalyptic number.

404126366400 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 404126366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833606395776).

404126366400 is an abundant number, since it is smaller than the sum of its proper divisors (1263086425152).

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

404126366400 is a wasteful number, since it uses less digits than its factorization.

404126366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 404126366400 its reverse (4663621404), we get a palindrome (408789987804).

The spelling of 404126366400 in words is "four hundred four billion, one hundred twenty-six million, three hundred sixty-six thousand, four hundred".