4145771748384 has 384 divisors, whose sum is σ = 14472305164800. Its totient is φ = 1143657252864.

The previous prime is 4145771748379. The next prime is 4145771748397. The reversal of 4145771748384 is 4838471775414.

4145771748384 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 7 + 71 + 7 + 483 + 84 = 666.

It is a super-2 number, since 2×4145771748384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14060844 + ... + 14352660.

It is an arithmetic number, because the mean of its divisors is an integer number (37688294700).

Almost surely, 2^{4145771748384} 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 4145771748384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236152582400).

4145771748384 is an abundant number, since it is smaller than the sum of its proper divisors (10326533416416).

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

4145771748384 is an equidigital number, since it uses as much as digits as its factorization.

4145771748384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291884 (or 291858 counting only the distinct ones).

The product of its digits is 84295680, while the sum is 63.

The spelling of 4145771748384 in words is "four trillion, one hundred forty-five billion, seven hundred seventy-one million, seven hundred forty-eight thousand, three hundred eighty-four".