4096572480 has 1344 divisors, whose sum is σ = 19970496000. Its totient is φ = 758661120.

The previous prime is 4096572479. The next prime is 4096572497. The reversal of 4096572480 is 842756904.

It is a happy number.

4096572480 is a `hidden beast` number, since 40 + 9 + 65 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141261106 + ... + 141261134.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000).

It is a vampire number, since it can be written as 45276 ⋅ 90480 (with its own digits).

Almost surely, 2^4096572480 is an apocalyptic number.

4096572480 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 4096572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248000).

4096572480 is an abundant number, since it is smaller than the sum of its proper divisors (15873923520).

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

4096572480 is a wasteful number, since it uses less digits than its factorization.

4096572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4096572480 is about 64004.4723437355. The cubic root of 4096572480 is about 1600.0745381941.

The spelling of 4096572480 in words is "four billion, ninety-six million, five hundred seventy-two thousand, four hundred eighty".