1213045016400 has 2160 divisors, whose sum is σ = 5498359193600. Its totient is φ = 251270553600.

The previous prime is 1213045016389. The next prime is 1213045016401. The reversal of 1213045016400 is 46105403121.

It is a happy number.

1213045016400 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 4 + 5 + 0 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213045016401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6095703501 + ... + 6095703699.

Almost surely, 2^{1213045016400} is an apocalyptic number.

1213045016400 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 1213045016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749179596800).

1213045016400 is an abundant number, since it is smaller than the sum of its proper divisors (4285314177200).

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

1213045016400 is a wasteful number, since it uses less digits than its factorization.

1213045016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1213045016400 in words is "one trillion, two hundred thirteen billion, forty-five million, sixteen thousand, four hundred".