814060967040 has 192 divisors, whose sum is σ = 2813137853760. Its totient is φ = 216922023936.

The previous prime is 814060967003. The next prime is 814060967053. The reversal of 814060967040 is 40769060418.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×814060967040³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7822227 + ... + 7925613.

It is an arithmetic number, because the mean of its divisors is an integer number (14651759655).

Almost surely, 2^814060967040 is an apocalyptic number.

814060967040 is a gapful number since it is divisible by the number (80) 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 814060967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406568926880).

814060967040 is an abundant number, since it is smaller than the sum of its proper divisors (1999076886720).

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

814060967040 is a wasteful number, since it uses less digits than its factorization.

814060967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104779 (or 104764 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 814060967040 in words is "eight hundred fourteen billion, sixty million, nine hundred sixty-seven thousand, forty".