1264111349760 has 1248 divisors, whose sum is σ = 5251680225792. Its totient is φ = 285698949120.

The previous prime is 1264111349671. The next prime is 1264111349803. The reversal of 1264111349760 is 679431114621.

1264111349760 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 113 + 497 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4563578742 + ... + 4563579018.

It is an arithmetic number, because the mean of its divisors is an integer number (4208077104).

Almost surely, 2^{1264111349760} is an apocalyptic number.

1264111349760 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 1264111349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625840112896).

1264111349760 is an abundant number, since it is smaller than the sum of its proper divisors (3987568876032).

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

1264111349760 is an equidigital number, since it uses as much as digits as its factorization.

1264111349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1264111349760 in words is "one trillion, two hundred sixty-four billion, one hundred eleven million, three hundred forty-nine thousand, seven hundred sixty".