1240035742000 has 160 divisors (see below), whose sum is σ = 3272089287168. Its totient is φ = 450770400000.

The previous prime is 1240035741953. The next prime is 1240035742027. The reversal of 1240035742000 is 2475300421.

It is a self number, because there is not a number n which added to its sum of digits gives 1240035742000.

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 31 ways as a sum of consecutive naturals, for example, 81194365 + ... + 81209635.

Almost surely, 2^{1240035742000} is an apocalyptic number.

1240035742000 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 1240035742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636044643584).

1240035742000 is an abundant number, since it is smaller than the sum of its proper divisors (2032053545168).

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

1240035742000 is a wasteful number, since it uses less digits than its factorization.

1240035742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 1240035742000 in words is "one trillion, two hundred forty billion, thirty-five million, seven hundred forty-two thousand".