1240320400 has 120 divisors (see below), whose sum is σ = 3284129088. Its totient is φ = 446400000.

The previous prime is 1240320383. The next prime is 1240320413. The reversal of 1240320400 is 40230421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443005 + ... + 445795.

Almost surely, 2^1240320400 is an apocalyptic number.

1240320400 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 1240320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642064544).

1240320400 is an abundant number, since it is smaller than the sum of its proper divisors (2043808688).

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

1240320400 is a wasteful number, since it uses less digits than its factorization.

1240320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1240320400 is about 35218.1828037734. The cubic root of 1240320400 is about 1074.4295946327.

Adding to 1240320400 its reverse (40230421), we get a palindrome (1280550821).

The spelling of 1240320400 in words is "one billion, two hundred forty million, three hundred twenty thousand, four hundred".