4145931288576 has 1904 divisors, whose sum is σ = 16503621465600. Its totient is φ = 1030045040640.

The previous prime is 4145931288563. The next prime is 4145931288589. The reversal of 4145931288576 is 6758821395414.

It is a happy number.

4145931288576 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 9 + 31 + 28 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (4145931288563) and next prime (4145931288589).

It is a super-3 number, since 3×4145931288576³ (a number of 39 digits) contains 333 as substring.

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

Its product of digits (58060800) is a multiple of the sum of its prime factors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 180257882101 + ... + 180257882123.

Almost surely, 2^{4145931288576} is an apocalyptic number.

4145931288576 is a gapful number since it is divisible by the number (46) 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 4145931288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251810732800).

4145931288576 is an abundant number, since it is smaller than the sum of its proper divisors (12357690177024).

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

4145931288576 is an frugal number, since it uses more digits than its factorization.

4145931288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 4145931288576 in words is "four trillion, one hundred forty-five billion, nine hundred thirty-one million, two hundred eighty-eight thousand, five hundred seventy-six".