1240400240 has 80 divisors (see below), whose sum is σ = 3071053440. Its totient is φ = 464302080.

The previous prime is 1240400197. The next prime is 1240400297. The reversal of 1240400240 is 420040421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243641 + ... + 248679.

It is an arithmetic number, because the mean of its divisors is an integer number (38388168).

Almost surely, 2^1240400240 is an apocalyptic number.

1240400240 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 1240400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

1240400240 is an abundant number, since it is smaller than the sum of its proper divisors (1830653200).

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

1240400240 is a wasteful number, since it uses less digits than its factorization.

1240400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1240400240 is about 35219.3162909219. The cubic root of 1240400240 is about 1074.4526479820.

Adding to 1240400240 its reverse (420040421), we get a palindrome (1660440661).

The spelling of 1240400240 in words is "one billion, two hundred forty million, four hundred thousand, two hundred forty".