1228727910400 has 171 divisors, whose sum is σ = 3054293162931. Its totient is φ = 490356080640.

The previous prime is 1228727910349. The next prime is 1228727910451. The reversal of 1228727910400 is 40197278221.

The square root of 1228727910400 is 1108480.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1228727910349) and next prime (1228727910451).

It can be written as a sum of positive squares in 4 ways, for example, as 375602282496 + 853125627904 = 612864^2 + 923648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2837708584 + ... + 2837709016.

Almost surely, 2^{1228727910400} is an apocalyptic number.

1228727910400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1228727910400 is the 1108480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228727910400

1228727910400 is an abundant number, since it is smaller than the sum of its proper divisors (1825565252531).

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

1228727910400 is an frugal number, since it uses more digits than its factorization.

1228727910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 1228727910400 in words is "one trillion, two hundred twenty-eight billion, seven hundred twenty-seven million, nine hundred ten thousand, four hundred".