1241293256460 has 576 divisors, whose sum is σ = 4322458183680. Its totient is φ = 286454784000.

The previous prime is 1241293256459. The next prime is 1241293256501. The reversal of 1241293256460 is 646523921421.

1241293256460 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 29 + 3 + 2 + 564 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 512294809 + ... + 512297231.

It is an arithmetic number, because the mean of its divisors is an integer number (7504267680).

Almost surely, 2^{1241293256460} is an apocalyptic number.

1241293256460 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 1241293256460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161229091840).

1241293256460 is an abundant number, since it is smaller than the sum of its proper divisors (3081164927220).

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

1241293256460 is a wasteful number, since it uses less digits than its factorization.

1241293256460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1241293256460 in words is "one trillion, two hundred forty-one billion, two hundred ninety-three million, two hundred fifty-six thousand, four hundred sixty".