4155603840 has 192 divisors, whose sum is σ = 14547864240. Its totient is φ = 1092870144.

The previous prime is 4155603839. The next prime is 4155603863. The reversal of 4155603840 is 483065514.

It is a happy number.

4155603840 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 603 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4155603795 and 4155603804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415539 + ... + 425421.

Almost surely, 2^4155603840 is an apocalyptic number.

4155603840 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 4155603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273932120).

4155603840 is an abundant number, since it is smaller than the sum of its proper divisors (10392260400).

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

4155603840 is a wasteful number, since it uses less digits than its factorization.

4155603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4155603840 is about 64463.9731943355. The cubic root of 4155603840 is about 1607.7235731854.

The spelling of 4155603840 in words is "four billion, one hundred fifty-five million, six hundred three thousand, eight hundred forty".