1234240001540 has 288 divisors, whose sum is σ = 3307417868160. Its totient is φ = 383370430464.

The previous prime is 1234240001509. The next prime is 1234240001609. The reversal of 1234240001540 is 451000424321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 716331119 + ... + 716332841.

It is an arithmetic number, because the mean of its divisors is an integer number (11484089820).

Almost surely, 2^{1234240001540} is an apocalyptic number.

1234240001540 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 1234240001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653708934080).

1234240001540 is an abundant number, since it is smaller than the sum of its proper divisors (2073177866620).

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

1234240001540 is a wasteful number, since it uses less digits than its factorization.

1234240001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 1234240001540 its reverse (451000424321), we get a palindrome (1685240425861).

The spelling of 1234240001540 in words is "one trillion, two hundred thirty-four billion, two hundred forty million, one thousand, five hundred forty".