400669221120 has 576 divisors, whose sum is σ = 1506764851200. Its totient is φ = 90693722112.

The previous prime is 400669221101. The next prime is 400669221133. The reversal of 400669221120 is 21122966004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 140930419 + ... + 140933261.

It is an arithmetic number, because the mean of its divisors is an integer number (2615911200).

Almost surely, 2^400669221120 is an apocalyptic number.

400669221120 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 400669221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753382425600).

400669221120 is an abundant number, since it is smaller than the sum of its proper divisors (1106095630080).

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

400669221120 is a wasteful number, since it uses less digits than its factorization.

400669221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 400669221120 in words is "four hundred billion, six hundred sixty-nine million, two hundred twenty-one thousand, one hundred twenty".