4022001133400 has 96 divisors (see below), whose sum is σ = 9644671183680. Its totient is φ = 1558980480000.

The previous prime is 4022001133357. The next prime is 4022001133411. The reversal of 4022001133400 is 43311002204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168781 + ... + 3067580.

It is an arithmetic number, because the mean of its divisors is an integer number (100465324830).

Almost surely, 2^{4022001133400} is an apocalyptic number.

4022001133400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022001133400 is an abundant number, since it is smaller than the sum of its proper divisors (5622670050280).

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

4022001133400 is a wasteful number, since it uses less digits than its factorization.

4022001133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236525 (or 4236516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4022001133400 its reverse (43311002204), we get a palindrome (4065312135604).

The spelling of 4022001133400 in words is "four trillion, twenty-two billion, one million, one hundred thirty-three thousand, four hundred".