4179772871820 has 1920 divisors, whose sum is σ = 17660868825600. Its totient is φ = 819354009600.

The previous prime is 4179772871789. The next prime is 4179772871821. The reversal of 4179772871820 is 281782779714.

4179772871820 is a `hidden beast` number, since 4 + 179 + 7 + 7 + 287 + 182 + 0 = 666.

It is a super-2 number, since 2×4179772871820² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4179772871821) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12402886692 + ... + 12402887028.

It is an arithmetic number, because the mean of its divisors is an integer number (9198369180).

Almost surely, 2^{4179772871820} 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 4179772871820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830434412800).

4179772871820 is an abundant number, since it is smaller than the sum of its proper divisors (13481095953780).

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

4179772871820 is a wasteful number, since it uses less digits than its factorization.

4179772871820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 4179772871820 in words is "four trillion, one hundred seventy-nine billion, seven hundred seventy-two million, eight hundred seventy-one thousand, eight hundred twenty".