1364264630400 has 576 divisors, whose sum is σ = 5420092466880. Its totient is φ = 295414456320.

The previous prime is 1364264630389. The next prime is 1364264630453. The reversal of 1364264630400 is 40364624631.

It is a super-2 number, since 2×1364264630400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24231082 + ... + 24287318.

It is an arithmetic number, because the mean of its divisors is an integer number (9409882755).

Almost surely, 2^{1364264630400} is an apocalyptic number.

1364264630400 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 1364264630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710046233440).

1364264630400 is an abundant number, since it is smaller than the sum of its proper divisors (4055827836480).

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

1364264630400 is a wasteful number, since it uses less digits than its factorization.

1364264630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56309 (or 56273 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 1364264630400 in words is "one trillion, three hundred sixty-four billion, two hundred sixty-four million, six hundred thirty thousand, four hundred".