1264559063040 has 1920 divisors, whose sum is σ = 5862624768000. Its totient is φ = 244611809280.

The previous prime is 1264559062993. The next prime is 1264559063041. The reversal of 1264559063040 is 403609554621.

1264559063040 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 5 + 9 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264559063041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40792227825 + ... + 40792227855.

It is an arithmetic number, because the mean of its divisors is an integer number (3053450400).

Almost surely, 2^{1264559063040} is an apocalyptic number.

1264559063040 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 1264559063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931312384000).

1264559063040 is an abundant number, since it is smaller than the sum of its proper divisors (4598065704960).

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

1264559063040 is an equidigital number, since it uses as much as digits as its factorization.

1264559063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1264559063040 in words is "one trillion, two hundred sixty-four billion, five hundred fifty-nine million, sixty-three thousand, forty".