1400550400 has 66 divisors (see below), whose sum is σ = 3471732470. Its totient is φ = 560209920.

The previous prime is 1400550397. The next prime is 1400550407. The reversal of 1400550400 is 40550041.

It can be written as a sum of positive squares in 3 ways, for example, as 48664576 + 1351885824 = 6976^2 + 36768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400550407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1755 + ... + 52954.

Almost surely, 2^1400550400 is an apocalyptic number.

1400550400 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 1400550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735866235).

1400550400 is an abundant number, since it is smaller than the sum of its proper divisors (2071182070).

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

1400550400 is an equidigital number, since it uses as much as digits as its factorization.

1400550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54739 (or 54716 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1400550400 is about 37423.9281743646. The cubic root of 1400550400 is about 1118.8355243961.

The spelling of 1400550400 in words is "one billion, four hundred million, five hundred fifty thousand, four hundred".