4276940976000 has 1536 divisors, whose sum is σ = 19212785280000. Its totient is φ = 885786624000.

The previous prime is 4276940975977. The next prime is 4276940976013. The reversal of 4276940976000 is 6790496724.

It is a happy number.

4276940976000 is a `hidden beast` number, since 4 + 27 + 6 + 9 + 4 + 0 + 9 + 7 + 600 + 0 = 666.

4276940976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4276940976000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5532911614 + ... + 5532912386.

It is an arithmetic number, because the mean of its divisors is an integer number (12508323750).

Almost surely, 2^{4276940976000} is an apocalyptic number.

4276940976000 is a gapful number since it is divisible by the number (40) 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 4276940976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606392640000).

4276940976000 is an abundant number, since it is smaller than the sum of its proper divisors (14935844304000).

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

4276940976000 is a wasteful number, since it uses less digits than its factorization.

4276940976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4276940976000 in words is "four trillion, two hundred seventy-six billion, nine hundred forty million, nine hundred seventy-six thousand".