400541982720 has 896 divisors, whose sum is σ = 1473620705280. Its totient is φ = 92779315200.

The previous prime is 400541982637. The next prime is 400541982739. The reversal of 400541982720 is 27289145004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5070151641 + ... + 5070151719.

Almost surely, 2^400541982720 is an apocalyptic number.

400541982720 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 400541982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736810352640).

400541982720 is an abundant number, since it is smaller than the sum of its proper divisors (1073078722560).

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

400541982720 is an equidigital number, since it uses as much as digits as its factorization.

400541982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 400541982720 in words is "four hundred billion, five hundred forty-one million, nine hundred eighty-two thousand, seven hundred twenty".