1226740118400 has 384 divisors, whose sum is σ = 4512380162400. Its totient is φ = 325465620480.

The previous prime is 1226740118399. The next prime is 1226740118419. The reversal of 1226740118400 is 48110476221.

It is a happy number.

1226740118400 is a `hidden beast` number, since 12 + 2 + 67 + 401 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16984764 + ... + 17056836.

Almost surely, 2^{1226740118400} is an apocalyptic number.

1226740118400 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 1226740118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256190081200).

1226740118400 is an abundant number, since it is smaller than the sum of its proper divisors (3285640044000).

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

1226740118400 is a wasteful number, since it uses less digits than its factorization.

1226740118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72303 (or 72280 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1226740118400 in words is "one trillion, two hundred twenty-six billion, seven hundred forty million, one hundred eighteen thousand, four hundred".