1242955414800 has 720 divisors, whose sum is σ = 5023829079360. Its totient is φ = 283579084800.

The previous prime is 1242955414781. The next prime is 1242955414823. The reversal of 1242955414800 is 84145592421.

1242955414800 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 9 + 554 + 14 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 81449571 + ... + 81464829.

It is an arithmetic number, because the mean of its divisors is an integer number (6977540388).

Almost surely, 2^{1242955414800} is an apocalyptic number.

1242955414800 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 1242955414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511914539680).

1242955414800 is an abundant number, since it is smaller than the sum of its proper divisors (3780873664560).

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

1242955414800 is a wasteful number, since it uses less digits than its factorization.

1242955414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1242955414800 in words is "one trillion, two hundred forty-two billion, nine hundred fifty-five million, four hundred fourteen thousand, eight hundred".