1400205440 has 64 divisors (see below), whose sum is σ = 3353215320. Its totient is φ = 559104000.

The previous prime is 1400205419. The next prime is 1400205451. The reversal of 1400205440 is 445020041.

It can be written as a sum of positive squares in 4 ways, for example, as 899520064 + 500685376 = 29992^2 + 22376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447080 + ... + 450200.

Almost surely, 2^1400205440 is an apocalyptic number.

1400205440 is a gapful number since it is divisible by the number (10) 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 1400205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676607660).

1400205440 is an abundant number, since it is smaller than the sum of its proper divisors (1953009880).

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

1400205440 is an equidigital number, since it uses as much as digits as its factorization.

1400205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1400205440 is about 37419.3190745102. The cubic root of 1400205440 is about 1118.7436592756.

Adding to 1400205440 its reverse (445020041), we get a palindrome (1845225481).

The spelling of 1400205440 in words is "one billion, four hundred million, two hundred five thousand, four hundred forty".