4140132000 has 96 divisors (see below), whose sum is σ = 13563111744. Its totient is φ = 1104032000.

The previous prime is 4140131971. The next prime is 4140132023. The reversal of 4140132000 is 2310414.

4140132000 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 (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160506 + ... + 184505.

It is an arithmetic number, because the mean of its divisors is an integer number (141282414).

Almost surely, 2^4140132000 is an apocalyptic number.

4140132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140132000 is an abundant number, since it is smaller than the sum of its proper divisors (9422979744).

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

4140132000 is a wasteful number, since it uses less digits than its factorization.

4140132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345039 (or 345021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4140132000 is about 64343.8575156945. The cubic root of 4140132000 is about 1605.7258389537.

Adding to 4140132000 its reverse (2310414), we get a palindrome (4142442414).

The spelling of 4140132000 in words is "four billion, one hundred forty million, one hundred thirty-two thousand".