4145351772672 has 640 divisors, whose sum is σ = 14220911232000. Its totient is φ = 1179045642240.

The previous prime is 4145351772659. The next prime is 4145351772673. The reversal of 4145351772672 is 2762771535414.

4145351772672 is a `hidden beast` number, since 4 + 1 + 4 + 53 + 517 + 7 + 2 + 6 + 72 = 666.

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 (4145351772673) 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, 314917963 + ... + 314931125.

It is an arithmetic number, because the mean of its divisors is an integer number (22220173800).

Almost surely, 2^{4145351772672} 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 4145351772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110455616000).

4145351772672 is an abundant number, since it is smaller than the sum of its proper divisors (10075559459328).

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

4145351772672 is a wasteful number, since it uses less digits than its factorization.

4145351772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13307 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 4145351772672 in words is "four trillion, one hundred forty-five billion, three hundred fifty-one million, seven hundred seventy-two thousand, six hundred seventy-two".