1281232058400 has 2304 divisors, whose sum is σ = 5745232281600. Its totient is φ = 269402112000.

The previous prime is 1281232058371. The next prime is 1281232058411. The reversal of 1281232058400 is 48502321821.

It is a happy number.

1281232058400 is a `hidden beast` number, since 1 + 28 + 1 + 23 + 205 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 11338336744 + ... + 11338336856.

It is an arithmetic number, because the mean of its divisors is an integer number (2493590400).

Almost surely, 2^{1281232058400} is an apocalyptic number.

1281232058400 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 1281232058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872616140800).

1281232058400 is an abundant number, since it is smaller than the sum of its proper divisors (4464000223200).

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

1281232058400 is a wasteful number, since it uses less digits than its factorization.

1281232058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1281232058400 in words is "one trillion, two hundred eighty-one billion, two hundred thirty-two million, fifty-eight thousand, four hundred".