1264416520032 has 144 divisors (see below), whose sum is σ = 3668031188640. Its totient is φ = 413076381696.

The previous prime is 1264416520027. The next prime is 1264416520109. The reversal of 1264416520032 is 2300256144621.

1264416520032 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 416 + 5 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1264416520032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2657694 + ... + 3097122.

It is an arithmetic number, because the mean of its divisors is an integer number (25472438810).

Almost surely, 2^{1264416520032} is an apocalyptic number.

1264416520032 is a gapful number since it is divisible by the number (12) 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 1264416520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834015594320).

1264416520032 is an abundant number, since it is smaller than the sum of its proper divisors (2403614668608).

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

1264416520032 is a wasteful number, since it uses less digits than its factorization.

1264416520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439645 (or 439634 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1264416520032 in words is "one trillion, two hundred sixty-four billion, four hundred sixteen million, five hundred twenty thousand, thirty-two".