400220413022000 has 160 divisors (see below), whose sum is σ = 968848833039360. Its totient is φ = 159903623577600.

The previous prime is 400220413021997. The next prime is 400220413022029. The reversal of 400220413022000 is 220314022004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16856342129 + ... + 16856365871.

It is an arithmetic number, because the mean of its divisors is an integer number (6055305206496).

Almost surely, 2^{400220413022000} is an apocalyptic number.

400220413022000 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 400220413022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484424416519680).

400220413022000 is an abundant number, since it is smaller than the sum of its proper divisors (568628420017360).

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

400220413022000 is a wasteful number, since it uses less digits than its factorization.

400220413022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33128 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 400220413022000 its reverse (220314022004), we get a palindrome (400440727044004).

The spelling of 400220413022000 in words is "four hundred trillion, two hundred twenty billion, four hundred thirteen million, twenty-two thousand".