4151728272384 has 3168 divisors, whose sum is σ = 17479821004800. Its totient is φ = 965667225600.

The previous prime is 4151728272383. The next prime is 4151728272407. The reversal of 4151728272384 is 4832728271514.

4151728272384 is a `hidden beast` number, since 4 + 1 + 51 + 72 + 82 + 72 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4151728272384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151728272383) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96551820267 + ... + 96551820309.

Almost surely, 2^{4151728272384} is an apocalyptic number.

4151728272384 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 4151728272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739910502400).

4151728272384 is an abundant number, since it is smaller than the sum of its proper divisors (13328092732416).

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

4151728272384 is a wasteful number, since it uses less digits than its factorization.

4151728272384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 4151728272384 in words is "four trillion, one hundred fifty-one billion, seven hundred twenty-eight million, two hundred seventy-two thousand, three hundred eighty-four".