1226646590400 has 1344 divisors, whose sum is σ = 5593689600000. Its totient is φ = 254032588800.

The previous prime is 1226646590383. The next prime is 1226646590401. The reversal of 1226646590400 is 40956466221.

1226646590400 is a `hidden beast` number, since 1 + 2 + 2 + 66 + 465 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226646590401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1659873231 + ... + 1659873969.

Almost surely, 2^{1226646590400} is an apocalyptic number.

1226646590400 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 1226646590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796844800000).

1226646590400 is an abundant number, since it is smaller than the sum of its proper divisors (4367043009600).

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

1226646590400 is a wasteful number, since it uses less digits than its factorization.

1226646590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1226646590400 in words is "one trillion, two hundred twenty-six billion, six hundred forty-six million, five hundred ninety thousand, four hundred".