4012689997296 has 640 divisors, whose sum is σ = 13000596480000. Its totient is φ = 1179493539840.

The previous prime is 4012689997291. The next prime is 4012689997307. The reversal of 4012689997296 is 6927999862104.

4012689997296 is a `hidden beast` number, since 40 + 126 + 8 + 99 + 97 + 296 = 666.

It is a super-2 number, since 2×4012689997296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012689997291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837894870 + ... + 837899658.

It is an arithmetic number, because the mean of its divisors is an integer number (20313432000).

Almost surely, 2^{4012689997296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012689997296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500298240000).

4012689997296 is an abundant number, since it is smaller than the sum of its proper divisors (8987906482704).

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

4012689997296 is a wasteful number, since it uses less digits than its factorization.

4012689997296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 4012689997296 in words is "four trillion, twelve billion, six hundred eighty-nine million, nine hundred ninety-seven thousand, two hundred ninety-six".