1240345505140 has 192 divisors, whose sum is σ = 3142337587200. Its totient is φ = 402239545344.

The previous prime is 1240345505129. The next prime is 1240345505153. The reversal of 1240345505140 is 415055430421.

It is a junction number, because it is equal to n+sod(n) for n = 1240345505096 and 1240345505105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154710412 + ... + 154718428.

It is an arithmetic number, because the mean of its divisors is an integer number (16366341600).

Almost surely, 2^{1240345505140} is an apocalyptic number.

1240345505140 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 1240345505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571168793600).

1240345505140 is an abundant number, since it is smaller than the sum of its proper divisors (1901992082060).

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

1240345505140 is a wasteful number, since it uses less digits than its factorization.

1240345505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1240345505140 in words is "one trillion, two hundred forty billion, three hundred forty-five million, five hundred five thousand, one hundred forty".