1240581294720 has 256 divisors, whose sum is σ = 4476629203200. Its totient is φ = 324579520512.

The previous prime is 1240581294581. The next prime is 1240581294727. The reversal of 1240581294720 is 274921850421.

1240581294720 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 58 + 129 + 472 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1240581294727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238549 + ... + 1593131.

It is an arithmetic number, because the mean of its divisors is an integer number (17486832825).

Almost surely, 2^{1240581294720} is an apocalyptic number.

1240581294720 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 1240581294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238314601600).

1240581294720 is an abundant number, since it is smaller than the sum of its proper divisors (3236047908480).

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

1240581294720 is a wasteful number, since it uses less digits than its factorization.

1240581294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354664 (or 1354646 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1240581294720 in words is "one trillion, two hundred forty billion, five hundred eighty-one million, two hundred ninety-four thousand, seven hundred twenty".