4276408046724 has 192 divisors, whose sum is σ = 12363756518400. Its totient is φ = 1267352697600.

The previous prime is 4276408046723. The next prime is 4276408046753.

4276408046724 is a `hidden beast` number, since 4 + 27 + 64 + 0 + 80 + 467 + 24 = 666.

4276408046724 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4276408046723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10870584 + ... + 11257104.

It is an arithmetic number, because the mean of its divisors is an integer number (64394565200).

Almost surely, 2^{4276408046724} is an apocalyptic number.

4276408046724 is a gapful number since it is divisible by the number (44) 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 4276408046724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181878259200).

4276408046724 is an abundant number, since it is smaller than the sum of its proper divisors (8087348471676).

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

4276408046724 is a wasteful number, since it uses less digits than its factorization.

4276408046724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386751 (or 386743 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 4276408046724 in words is "four trillion, two hundred seventy-six billion, four hundred eight million, forty-six thousand, seven hundred twenty-four".