1264512280400 has 120 divisors (see below), whose sum is σ = 3191356454400. Its totient is φ = 480565803520.

The previous prime is 1264512280399. The next prime is 1264512280429. The reversal of 1264512280400 is 40822154621.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 909569 + ... + 1832031.

It is an arithmetic number, because the mean of its divisors is an integer number (26594637120).

Almost surely, 2^{1264512280400} is an apocalyptic number.

1264512280400 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 1264512280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595678227200).

1264512280400 is an abundant number, since it is smaller than the sum of its proper divisors (1926844174000).

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

1264512280400 is a wasteful number, since it uses less digits than its factorization.

1264512280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922653 (or 922642 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 1264512280400 in words is "one trillion, two hundred sixty-four billion, five hundred twelve million, two hundred eighty thousand, four hundred".