1240345440000 has 360 divisors, whose sum is σ = 4583448389520. Its totient is φ = 330757632000.

The previous prime is 1240345439989. The next prime is 1240345440011. The reversal of 1240345440000 is 445430421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1240345439989) and next prime (1240345440011).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4176442 + ... + 4463558.

It is an arithmetic number, because the mean of its divisors is an integer number (12731801082).

Almost surely, 2^{1240345440000} is an apocalyptic number.

1240345440000 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 1240345440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291724194760).

1240345440000 is an abundant number, since it is smaller than the sum of its proper divisors (3343102949520).

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

1240345440000 is an frugal number, since it uses more digits than its factorization.

1240345440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287162 (or 287127 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 1240345440000 in words is "one trillion, two hundred forty billion, three hundred forty-five million, four hundred forty thousand".