4276881504000 has 1296 divisors, whose sum is σ = 18388116504576. Its totient is φ = 951035904000.

The previous prime is 4276881503971. The next prime is 4276881504017. The reversal of 4276881504000 is 4051886724.

4276881504000 is a `hidden beast` number, since 4 + 2 + 7 + 68 + 81 + 504 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 522139905 + ... + 522148095.

Almost surely, 2^{4276881504000} is an apocalyptic number.

4276881504000 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 4276881504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194058252288).

4276881504000 is an abundant number, since it is smaller than the sum of its proper divisors (14111235000576).

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

4276881504000 is a wasteful number, since it uses less digits than its factorization.

4276881504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4276881504000 in words is "four trillion, two hundred seventy-six billion, eight hundred eighty-one million, five hundred four thousand".