1240271984448 has 672 divisors, whose sum is σ = 4328041737600. Its totient is φ = 351543628800.

The previous prime is 1240271984443. The next prime is 1240271984461. The reversal of 1240271984448 is 8444891720421.

1240271984448 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 7 + 198 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1240271984394 and 1240271984403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240271984443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953321398 + ... + 953322698.

It is an arithmetic number, because the mean of its divisors is an integer number (6440538300).

Almost surely, 2^{1240271984448} is an apocalyptic number.

1240271984448 is a gapful number since it is divisible by the number (18) 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 1240271984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164020868800).

1240271984448 is an abundant number, since it is smaller than the sum of its proper divisors (3087769753152).

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

1240271984448 is an equidigital number, since it uses as much as digits as its factorization.

1240271984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1240271984448 in words is "one trillion, two hundred forty billion, two hundred seventy-one million, nine hundred eighty-four thousand, four hundred forty-eight".