1364836964400 has 1440 divisors, whose sum is σ = 6296375131200. Its totient is φ = 277995110400.

The previous prime is 1364836964369. The next prime is 1364836964471. The reversal of 1364836964400 is 44696384631.

It is a happy number.

1364836964400 is a `hidden beast` number, since 1 + 3 + 6 + 483 + 69 + 64 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199504980 + ... + 199511820.

It is an arithmetic number, because the mean of its divisors is an integer number (4372482730).

Almost surely, 2^{1364836964400} is an apocalyptic number.

1364836964400 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 1364836964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148187565600).

1364836964400 is an abundant number, since it is smaller than the sum of its proper divisors (4931538166800).

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

1364836964400 is a wasteful number, since it uses less digits than its factorization.

1364836964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1364836964400 in words is "one trillion, three hundred sixty-four billion, eight hundred thirty-six million, nine hundred sixty-four thousand, four hundred".