4155190920 has 256 divisors, whose sum is σ = 14337388800. Its totient is φ = 1069701120.

The previous prime is 4155190901. The next prime is 4155190931. The reversal of 4155190920 is 290915514.

It is a super-2 number, since 2×4155190920² = 34531223163300892800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4737522 + ... + 4738398.

It is an arithmetic number, because the mean of its divisors is an integer number (56005425).

Almost surely, 2^4155190920 is an apocalyptic number.

4155190920 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 4155190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168694400).

4155190920 is an abundant number, since it is smaller than the sum of its proper divisors (10182197880).

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

4155190920 is a wasteful number, since it uses less digits than its factorization.

4155190920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 4155190920 is about 64460.7703956445. The cubic root of 4155190920 is about 1607.6703211405.

The spelling of 4155190920 in words is "four billion, one hundred fifty-five million, one hundred ninety thousand, nine hundred twenty".