1240827544320 has 576 divisors, whose sum is σ = 4913197793280. Its totient is φ = 259879993344.

The previous prime is 1240827544309. The next prime is 1240827544339. The reversal of 1240827544320 is 234457280421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47860321 + ... + 47886239.

It is an arithmetic number, because the mean of its divisors is an integer number (8529857280).

Almost surely, 2^{1240827544320} is an apocalyptic number.

1240827544320 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 1240827544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456598896640).

1240827544320 is an abundant number, since it is smaller than the sum of its proper divisors (3672370248960).

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

1240827544320 is a wasteful number, since it uses less digits than its factorization.

1240827544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26100 (or 26086 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 1240827544320 in words is "one trillion, two hundred forty billion, eight hundred twenty-seven million, five hundred forty-four thousand, three hundred twenty".