400300221152000 has 576 divisors, whose sum is σ = 1104646644226944. Its totient is φ = 143584645939200.

The previous prime is 400300221151969. The next prime is 400300221152077. The reversal of 400300221152000 is 251122003004.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10050956087 + ... + 10050995913.

It is an arithmetic number, because the mean of its divisors is an integer number (1917789312894).

Almost surely, 2^{400300221152000} is an apocalyptic number.

400300221152000 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 400300221152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552323322113472).

400300221152000 is an abundant number, since it is smaller than the sum of its proper divisors (704346423074944).

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

400300221152000 is a wasteful number, since it uses less digits than its factorization.

400300221152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40561 (or 40537 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 400300221152000 its reverse (251122003004), we get a palindrome (400551343155004).

The spelling of 400300221152000 in words is "four hundred trillion, three hundred billion, two hundred twenty-one million, one hundred fifty-two thousand".