400384249344 has 280 divisors, whose sum is σ = 1206972907272. Its totient is φ = 132622479360.

The previous prime is 400384249301. The next prime is 400384249367. The reversal of 400384249344 is 443942483004.

400384249344 is a `hidden beast` number, since 40 + 0 + 3 + 84 + 2 + 493 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400384249344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 60836134 + ... + 60842714.

Almost surely, 2^400384249344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400384249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603486453636).

400384249344 is an abundant number, since it is smaller than the sum of its proper divisors (806588657928).

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

400384249344 is an frugal number, since it uses more digits than its factorization.

400384249344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 400384249344 in words is "four hundred billion, three hundred eighty-four million, two hundred forty-nine thousand, three hundred forty-four".