1322400240 has 180 divisors, whose sum is σ = 5166269784. Its totient is φ = 302254848.

The previous prime is 1322400227. The next prime is 1322400259. The reversal of 1322400240 is 420042231.

1322400240 is a `hidden beast` number, since 1 + 3 + 22 + 400 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16539 + ... + 54021.

Almost surely, 2^1322400240 is an apocalyptic number.

1322400240 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 1322400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583134892).

1322400240 is an abundant number, since it is smaller than the sum of its proper divisors (3843869544).

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

1322400240 is a wasteful number, since it uses less digits than its factorization.

1322400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37516 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1322400240 is about 36364.8214625069. The cubic root of 1322400240 is about 1097.6257994075.

Adding to 1322400240 its reverse (420042231), we get a palindrome (1742442471).

The spelling of 1322400240 in words is "one billion, three hundred twenty-two million, four hundred thousand, two hundred forty".