1064671731200 has 480 divisors, whose sum is σ = 3369034867968. Its totient is φ = 323739648000.

The previous prime is 1064671731139. The next prime is 1064671731223. The reversal of 1064671731200 is 21371764601.

1064671731200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064671731200² (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 47 ways as a sum of consecutive naturals, for example, 40396427 + ... + 40422773.

Almost surely, 2^{1064671731200} is an apocalyptic number.

1064671731200 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 1064671731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684517433984).

1064671731200 is an abundant number, since it is smaller than the sum of its proper divisors (2304363136768).

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

1064671731200 is a wasteful number, since it uses less digits than its factorization.

1064671731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26434 (or 26413 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 1064671731200 in words is "one trillion, sixty-four billion, six hundred seventy-one million, seven hundred thirty-one thousand, two hundred".