4047696020160 has 1344 divisors, whose sum is σ = 16393913303040. Its totient is φ = 908684697600.

The previous prime is 4047696020131. The next prime is 4047696020177. The reversal of 4047696020160 is 610206967404.

4047696020160 is a `hidden beast` number, since 40 + 476 + 9 + 60 + 20 + 1 + 60 = 666.

It is a super-3 number, since 3×4047696020160³ (a number of 39 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21192125665 + ... + 21192125855.

It is an arithmetic number, because the mean of its divisors is an integer number (12197852160).

Almost surely, 2^{4047696020160} is an apocalyptic number.

4047696020160 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 4047696020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196956651520).

4047696020160 is an abundant number, since it is smaller than the sum of its proper divisors (12346217282880).

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

4047696020160 is a wasteful number, since it uses less digits than its factorization.

4047696020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4047696020160 in words is "four trillion, forty-seven billion, six hundred ninety-six million, twenty thousand, one hundred sixty".