2221418606400 has 1008 divisors, whose sum is σ = 9745095470400. Its totient is φ = 490230558720.

The previous prime is 2221418606347. The next prime is 2221418606471. The reversal of 2221418606400 is 46068141222.

2221418606400 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 4 + 1 + 8 + 6 + 0 + 640 + 0 = 666.

2221418606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 61369107 + ... + 61405293.

Almost surely, 2^{2221418606400} is an apocalyptic number.

2221418606400 is a gapful number since it is divisible by the number (20) 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 2221418606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872547735200).

2221418606400 is an abundant number, since it is smaller than the sum of its proper divisors (7523676864000).

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

2221418606400 is a wasteful number, since it uses less digits than its factorization.

2221418606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36261 (or 36233 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2221418606400 in words is "two trillion, two hundred twenty-one billion, four hundred eighteen million, six hundred six thousand, four hundred".