4155191040 has 1152 divisors, whose sum is σ = 18988204032. Its totient is φ = 746127360.

The previous prime is 4155191039. The next prime is 4155191099. The reversal of 4155191040 is 401915514.

It is a super-2 number, since 2×4155191040² = 34531225157792563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4155190989 and 4155191007.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 88408297 + ... + 88408343.

It is an arithmetic number, because the mean of its divisors is an integer number (16482816).

Almost surely, 2^4155191040 is an apocalyptic number.

4155191040 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 4155191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494102016).

4155191040 is an abundant number, since it is smaller than the sum of its proper divisors (14833012992).

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

4155191040 is a wasteful number, since it uses less digits than its factorization.

4155191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 4155191040 is about 64460.7713264432. The cubic root of 4155191040 is about 1607.6703366167.

The spelling of 4155191040 in words is "four billion, one hundred fifty-five million, one hundred ninety-one thousand, forty".