1240280455680 has 960 divisors, whose sum is σ = 5209769410560. Its totient is φ = 266373660672.

The previous prime is 1240280455679. The next prime is 1240280455709. The reversal of 1240280455680 is 865540820421.

1240280455680 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 80 + 4 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389167047 + ... + 389170233.

It is an arithmetic number, because the mean of its divisors is an integer number (5426843136).

Almost surely, 2^{1240280455680} is an apocalyptic number.

1240280455680 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 1240280455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604884705280).

1240280455680 is an abundant number, since it is smaller than the sum of its proper divisors (3969488954880).

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

1240280455680 is a wasteful number, since it uses less digits than its factorization.

1240280455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1240280455680 in words is "one trillion, two hundred forty billion, two hundred eighty million, four hundred fifty-five thousand, six hundred eighty".