1241492145840 has 480 divisors, whose sum is σ = 4408667827200. Its totient is φ = 312746987520.

The previous prime is 1241492145827. The next prime is 1241492145857. The reversal of 1241492145840 is 485412941421.

1241492145840 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 49 + 21 + 4 + 584 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116687241 + ... + 116697879.

It is an arithmetic number, because the mean of its divisors is an integer number (9184724640).

Almost surely, 2^{1241492145840} is an apocalyptic number.

1241492145840 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 1241492145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204333913600).

1241492145840 is an abundant number, since it is smaller than the sum of its proper divisors (3167175681360).

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

1241492145840 is a wasteful number, since it uses less digits than its factorization.

1241492145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1241492145840 in words is "one trillion, two hundred forty-one billion, four hundred ninety-two million, one hundred forty-five thousand, eight hundred forty".