4145720460480 has 560 divisors, whose sum is σ = 16118278615296. Its totient is φ = 1006926888960.

The previous prime is 4145720460451. The next prime is 4145720460529. The reversal of 4145720460480 is 840640275414.

4145720460480 is a `hidden beast` number, since 4 + 1 + 45 + 72 + 0 + 4 + 60 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 13508092 + ... + 13811588.

Almost surely, 2^{4145720460480} is an apocalyptic number.

4145720460480 is a gapful number since it is divisible by the number (40) 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 4145720460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059139307648).

4145720460480 is an abundant number, since it is smaller than the sum of its proper divisors (11972558154816).

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

4145720460480 is a wasteful number, since it uses less digits than its factorization.

4145720460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303574 (or 303555 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4145720460480 in words is "four trillion, one hundred forty-five billion, seven hundred twenty million, four hundred sixty thousand, four hundred eighty".