1410900400 has 240 divisors, whose sum is σ = 4231229184. Its totient is φ = 440202240.

The previous prime is 1410900377. The next prime is 1410900443. The reversal of 1410900400 is 40090141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3020967 + ... + 3021433.

Almost surely, 2^1410900400 is an apocalyptic number.

1410900400 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 1410900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115614592).

1410900400 is an abundant number, since it is smaller than the sum of its proper divisors (2820328784).

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

1410900400 is a wasteful number, since it uses less digits than its factorization.

1410900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1410900400 is about 37561.9541557678. The cubic root of 1410900400 is about 1121.5848099934.

Adding to 1410900400 its reverse (40090141), we get a palindrome (1450990541).

The spelling of 1410900400 in words is "one billion, four hundred ten million, nine hundred thousand, four hundred".