1041686763264 has 1152 divisors, whose sum is σ = 3777312000000. Its totient is φ = 282677133312.

The previous prime is 1041686763181. The next prime is 1041686763281. The reversal of 1041686763264 is 4623676861401.

1041686763264 is a `hidden beast` number, since 104 + 168 + 67 + 63 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1041686763264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1041686763264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7494149307 + ... + 7494149445.

Almost surely, 2^{1041686763264} is an apocalyptic number.

1041686763264 is a gapful number since it is divisible by the number (14) 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 1041686763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888656000000).

1041686763264 is an abundant number, since it is smaller than the sum of its proper divisors (2735625236736).

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

1041686763264 is a wasteful number, since it uses less digits than its factorization.

1041686763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1041686763264 in words is "one trillion, forty-one billion, six hundred eighty-six million, seven hundred sixty-three thousand, two hundred sixty-four".