1223674742400 has 576 divisors, whose sum is σ = 4690871015040. Its totient is φ = 279194009600.

The previous prime is 1223674742369. The next prime is 1223674742471. The reversal of 1223674742400 is 42474763221.

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 71 ways as a sum of consecutive naturals, for example, 19716217 + ... + 19778183.

It is an arithmetic number, because the mean of its divisors is an integer number (8143873290).

Almost surely, 2^{1223674742400} is an apocalyptic number.

1223674742400 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 1223674742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345435507520).

1223674742400 is an abundant number, since it is smaller than the sum of its proper divisors (3467196272640).

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

1223674742400 is a wasteful number, since it uses less digits than its factorization.

1223674742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62033 (or 62005 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 1223674742400 in words is "one trillion, two hundred twenty-three billion, six hundred seventy-four million, seven hundred forty-two thousand, four hundred".