1284745222400 has 108 divisors (see below), whose sum is σ = 3347311018800. Its totient is φ = 486850775040.

The previous prime is 1284745222303. The next prime is 1284745222483. The reversal of 1284745222400 is 42225474821.

It is a happy number.

It is a super-4 number, since 4×1284745222400⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5161070 + ... + 5404269.

Almost surely, 2^{1284745222400} is an apocalyptic number.

1284745222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284745222400 is an abundant number, since it is smaller than the sum of its proper divisors (2062565796400).

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

1284745222400 is a wasteful number, since it uses less digits than its factorization.

1284745222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565384 (or 10565365 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 41.

The spelling of 1284745222400 in words is "one trillion, two hundred eighty-four billion, seven hundred forty-five million, two hundred twenty-two thousand, four hundred".