4155577020 has 336 divisors, whose sum is σ = 15747594240. Its totient is φ = 899434368.

The previous prime is 4155577007. The next prime is 4155577021. The reversal of 4155577020 is 207755514.

4155577020 is a `hidden beast` number, since 4 + 15 + 557 + 70 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155577021) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1938069 + ... + 1940211.

It is an arithmetic number, because the mean of its divisors is an integer number (46867840).

Almost surely, 2^4155577020 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 4155577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873797120).

4155577020 is an abundant number, since it is smaller than the sum of its proper divisors (11592017220).

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

4155577020 is a wasteful number, since it uses less digits than its factorization.

4155577020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 4155577020 is about 64463.7651708307. The cubic root of 4155577020 is about 1607.7201144631.

The spelling of 4155577020 in words is "four billion, one hundred fifty-five million, five hundred seventy-seven thousand, twenty".