400240443330 has 384 divisors, whose sum is σ = 1366072501248. Its totient is φ = 78895005696.

The previous prime is 400240443301. The next prime is 400240443389. The reversal of 400240443330 is 33344042004.

It is a junction number, because it is equal to n+sod(n) for n = 400240443294 and 400240443303.

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 191 ways as a sum of consecutive naturals, for example, 19064019 + ... + 19085001.

It is an arithmetic number, because the mean of its divisors is an integer number (3557480472).

Almost surely, 2^400240443330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400240443330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683036250624).

400240443330 is an abundant number, since it is smaller than the sum of its proper divisors (965832057918).

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

400240443330 is a wasteful number, since it uses less digits than its factorization.

400240443330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21170 (or 21167 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 400240443330 its reverse (33344042004), we get a palindrome (433584485334).

The spelling of 400240443330 in words is "four hundred billion, two hundred forty million, four hundred forty-three thousand, three hundred thirty".