1264942486080 has 1344 divisors, whose sum is σ = 5744313469440. Its totient is φ = 248019812352.

The previous prime is 1264942486069. The next prime is 1264942486081. The reversal of 1264942486080 is 806842494621.

It is a happy number.

1264942486080 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 9 + 4 + 24 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (1264942486081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263912164 + ... + 263916956.

It is an arithmetic number, because the mean of its divisors is an integer number (4274042760).

Almost surely, 2^{1264942486080} is an apocalyptic number.

1264942486080 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 1264942486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872156734720).

1264942486080 is an abundant number, since it is smaller than the sum of its proper divisors (4479370983360).

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

1264942486080 is a wasteful number, since it uses less digits than its factorization.

1264942486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1264942486080 in words is "one trillion, two hundred sixty-four billion, nine hundred forty-two million, four hundred eighty-six thousand, eighty".