40022000444304 has 160 divisors (see below), whose sum is σ = 120932491968000. Its totient is φ = 12637656982656.

The previous prime is 40022000444303. The next prime is 40022000444329. The reversal of 40022000444304 is 40344400022004.

It is a happy number.

40022000444304 is a `hidden beast` number, since 4 + 0 + 0 + 220 + 0 + 0 + 4 + 4 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40022000444303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124823107 + ... + 125143325.

It is an arithmetic number, because the mean of its divisors is an integer number (755828074800).

Almost surely, 2^{40022000444304} 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 40022000444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60466245984000).

40022000444304 is an abundant number, since it is smaller than the sum of its proper divisors (80910491523696).

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

40022000444304 is a wasteful number, since it uses less digits than its factorization.

40022000444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335482 (or 335470 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 40022000444304 its reverse (40344400022004), we get a palindrome (80366400466308).

The spelling of 40022000444304 in words is "forty trillion, twenty-two billion, four hundred forty-four thousand, three hundred four".