4312781267904 has 280 divisors, whose sum is σ = 13213507467776. Its totient is φ = 1389462336000.

The previous prime is 4312781267849. The next prime is 4312781267929. The reversal of 4312781267904 is 4097621872134.

4312781267904 is a `hidden beast` number, since 431 + 27 + 81 + 26 + 7 + 90 + 4 = 666.

4312781267904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130314399 + ... + 130347489.

Almost surely, 2^{4312781267904} 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 4312781267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606753733888).

4312781267904 is an abundant number, since it is smaller than the sum of its proper divisors (8900726199872).

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

4312781267904 is a wasteful number, since it uses less digits than its factorization.

4312781267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33957 (or 33938 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4312781267904 in words is "four trillion, three hundred twelve billion, seven hundred eighty-one million, two hundred sixty-seven thousand, nine hundred four".