404022132000 has 288 divisors, whose sum is σ = 1480132652544. Its totient is φ = 104263488000.

The previous prime is 404022131951. The next prime is 404022132001. The reversal of 404022132000 is 231220404.

404022132000 is a `hidden beast` number, since 40 + 402 + 21 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (404022132001) 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 47 ways as a sum of consecutive naturals, for example, 934987 + ... + 1297013.

It is an arithmetic number, because the mean of its divisors is an integer number (5139349488).

Almost surely, 2^404022132000 is an apocalyptic number.

404022132000 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 404022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740066326272).

404022132000 is an abundant number, since it is smaller than the sum of its proper divisors (1076110520544).

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

404022132000 is a wasteful number, since it uses less digits than its factorization.

404022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362089 (or 362068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 404022132000 its reverse (231220404), we get a palindrome (404253352404).

The spelling of 404022132000 in words is "four hundred four billion, twenty-two million, one hundred thirty-two thousand".