1064418955200 has 126 divisors (see below), whose sum is σ = 3783196339104. Its totient is φ = 283845050880.

The previous prime is 1064418955183. The next prime is 1064418955217. The reversal of 1064418955200 is 25598144601.

1064418955200 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 41 + 89 + 5 + 520 + 0 = 666.

1064418955200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1064418955183) and next prime (1064418955217).

It is a super-2 number, since 2×1064418955200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36944592 + ... + 36973391.

Almost surely, 2^{1064418955200} is an apocalyptic number.

1064418955200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064418955200 is an abundant number, since it is smaller than the sum of its proper divisors (2718777383904).

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

1064418955200 is a wasteful number, since it uses less digits than its factorization.

1064418955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73918011 (or 73917993 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1064418955200 in words is "one trillion, sixty-four billion, four hundred eighteen million, nine hundred fifty-five thousand, two hundred".