1264481880480 has 3072 divisors, whose sum is σ = 6103970611200. Its totient is φ = 237027409920.

The previous prime is 1264481880443. The next prime is 1264481880491. The reversal of 1264481880480 is 840881844621.

1264481880480 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 81 + 8 + 80 + 480 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9956550177 + ... + 9956550303.

It is an arithmetic number, because the mean of its divisors is an integer number (1986969600).

Almost surely, 2^{1264481880480} is an apocalyptic number.

1264481880480 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 1264481880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051985305600).

1264481880480 is an abundant number, since it is smaller than the sum of its proper divisors (4839488730720).

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

1264481880480 is a wasteful number, since it uses less digits than its factorization.

1264481880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 1264481880480 in words is "one trillion, two hundred sixty-four billion, four hundred eighty-one million, eight hundred eighty thousand, four hundred eighty".