1226618078400 has 2688 divisors, whose sum is σ = 5600341555200. Its totient is φ = 256927334400.

The previous prime is 1226618078381. The next prime is 1226618078431. The reversal of 1226618078400 is 48708166221.

1226618078400 is a `hidden beast` number, since 1 + 2 + 2 + 66 + 180 + 7 + 8 + 400 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12645547152 + ... + 12645547248.

It is an arithmetic number, because the mean of its divisors is an integer number (2083460400).

Almost surely, 2^{1226618078400} is an apocalyptic number.

1226618078400 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 1226618078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800170777600).

1226618078400 is an abundant number, since it is smaller than the sum of its proper divisors (4373723476800).

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

1226618078400 is a wasteful number, since it uses less digits than its factorization.

1226618078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1226618078400 in words is "one trillion, two hundred twenty-six billion, six hundred eighteen million, seventy-eight thousand, four hundred".