400243822720 has 384 divisors, whose sum is σ = 1139679117360. Its totient is φ = 133970264064.

The previous prime is 400243822697. The next prime is 400243822739. The reversal of 400243822720 is 27228342004.

It can be written as a sum of positive squares in 8 ways, for example, as 238620526144 + 161623296576 = 488488^2 + 402024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427154092 + ... + 427155028.

Almost surely, 2^400243822720 is an apocalyptic number.

400243822720 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 400243822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569839558680).

400243822720 is an abundant number, since it is smaller than the sum of its proper divisors (739435294640).

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

400243822720 is a wasteful number, since it uses less digits than its factorization.

400243822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 400243822720 in words is "four hundred billion, two hundred forty-three million, eight hundred twenty-two thousand, seven hundred twenty".