4120141200 has 120 divisors (see below), whose sum is σ = 15083671488. Its totient is φ = 941744640.

The previous prime is 4120141187. The next prime is 4120141217. The reversal of 4120141200 is 21410214.

4120141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4120141200.

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, 236847 + ... + 253646.

Almost surely, 2^4120141200 is an apocalyptic number.

4120141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120141200 is an abundant number, since it is smaller than the sum of its proper divisors (10963530288).

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

4120141200 is a wasteful number, since it uses less digits than its factorization.

4120141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490521 (or 490510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4120141200 is about 64188.3260414228. The cubic root of 4120141200 is about 1603.1372300136.

Adding to 4120141200 its reverse (21410214), we get a palindrome (4141551414).

The spelling of 4120141200 in words is "four billion, one hundred twenty million, one hundred forty-one thousand, two hundred".