1226638404000 has 960 divisors, whose sum is σ = 4903259961600. Its totient is φ = 299158272000.

The previous prime is 1226638403999. The next prime is 1226638404001. The reversal of 1226638404000 is 4048366221.

1226638404000 is a `hidden beast` number, since 12 + 2 + 6 + 638 + 4 + 0 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1226638403999) and next prime (1226638404001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1226638404001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178520565 + ... + 178527435.

It is an arithmetic number, because the mean of its divisors is an integer number (5107562460).

Almost surely, 2^{1226638404000} is an apocalyptic number.

1226638404000 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 1226638404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451629980800).

1226638404000 is an abundant number, since it is smaller than the sum of its proper divisors (3676621557600).

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

1226638404000 is a wasteful number, since it uses less digits than its factorization.

1226638404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1226638404000 in words is "one trillion, two hundred twenty-six billion, six hundred thirty-eight million, four hundred four thousand".