1240324511104 has 128 divisors (see below), whose sum is σ = 2921480654400. Its totient is φ = 513466368000.

The previous prime is 1240324510987. The next prime is 1240324511117. The reversal of 1240324511104 is 4011154230421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3543192 + ... + 3877480.

Almost surely, 2^{1240324511104} is an apocalyptic number.

1240324511104 is a gapful number since it is divisible by the number (14) 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 1240324511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460740327200).

1240324511104 is an abundant number, since it is smaller than the sum of its proper divisors (1681156143296).

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

1240324511104 is a wasteful number, since it uses less digits than its factorization.

1240324511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334452 (or 334440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1240324511104 its reverse (4011154230421), we get a palindrome (5251478741525).

The spelling of 1240324511104 in words is "one trillion, two hundred forty billion, three hundred twenty-four million, five hundred eleven thousand, one hundred four".