1240014400 has 84 divisors (see below), whose sum is σ = 3074025348. Its totient is φ = 492298240.

The previous prime is 1240014397. The next prime is 1240014407. The reversal of 1240014400 is 44100421.

It can be written as a sum of positive squares in 6 ways, for example, as 130325056 + 1109689344 = 11416^2 + 33312^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240014407) 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 11 ways as a sum of consecutive naturals, for example, 216372 + ... + 222028.

Almost surely, 2^1240014400 is an apocalyptic number.

1240014400 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 1240014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537012674).

1240014400 is an abundant number, since it is smaller than the sum of its proper divisors (1834010948).

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

1240014400 is a wasteful number, since it uses less digits than its factorization.

1240014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1240014400 is about 35213.8381889847. The cubic root of 1240014400 is about 1074.3412296970.

Adding to 1240014400 its reverse (44100421), we get a palindrome (1284114821).

The spelling of 1240014400 in words is "one billion, two hundred forty million, fourteen thousand, four hundred".