4155649920 has 256 divisors, whose sum is σ = 14904648000. Its totient is φ = 1107800064.

The previous prime is 4155649909. The next prime is 4155649921. The reversal of 4155649920 is 299465514.

4155649920 is a `hidden beast` number, since 4 + 1 + 556 + 4 + 9 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155649921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398196 + ... + 1401164.

Almost surely, 2^4155649920 is an apocalyptic number.

4155649920 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 4155649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452324000).

4155649920 is an abundant number, since it is smaller than the sum of its proper divisors (10748998080).

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

4155649920 is an frugal number, since it uses more digits than its factorization.

4155649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4155649920 is about 64464.3306022796. The cubic root of 4155649920 is about 1607.7295156534.

The spelling of 4155649920 in words is "four billion, one hundred fifty-five million, six hundred forty-nine thousand, nine hundred twenty".