1228908326400 has 1920 divisors, whose sum is σ = 5065961472000. Its totient is φ = 290357084160.

The previous prime is 1228908326383. The next prime is 1228908326441. The reversal of 1228908326400 is 46238098221.

1228908326400 is a `hidden beast` number, since 1 + 2 + 289 + 0 + 8 + 326 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11931148749 + ... + 11931148851.

It is an arithmetic number, because the mean of its divisors is an integer number (2638521600).

Almost surely, 2^{1228908326400} is an apocalyptic number.

1228908326400 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 1228908326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532980736000).

1228908326400 is an abundant number, since it is smaller than the sum of its proper divisors (3837053145600).

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

1228908326400 is a wasteful number, since it uses less digits than its factorization.

1228908326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1228908326400 in words is "one trillion, two hundred twenty-eight billion, nine hundred eight million, three hundred twenty-six thousand, four hundred".