400105440 has 384 divisors, whose sum is σ = 1628605440. Its totient is φ = 89856000.

The previous prime is 400105417. The next prime is 400105469. The reversal of 400105440 is 44501004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3054175 + ... + 3054305.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2^400105440 is an apocalyptic number.

400105440 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 400105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

400105440 is an abundant number, since it is smaller than the sum of its proper divisors (1228500000).

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

400105440 is a wasteful number, since it uses less digits than its factorization.

400105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400105440 is about 20002.6358263105. The cubic root of 400105440 is about 736.8710347539.

Adding to 400105440 its reverse (44501004), we get a palindrome (444606444).

The spelling of 400105440 in words is "four hundred million, one hundred five thousand, four hundred forty".