4020132000 has 192 divisors, whose sum is σ = 13492821888. Its totient is φ = 1045760000.

The previous prime is 4020131977. The next prime is 4020132019. The reversal of 4020132000 is 2310204.

It is a super-2 number, since 2×4020132000² = 32322922594848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 487915 + ... + 496085.

It is an arithmetic number, because the mean of its divisors is an integer number (70275114).

Almost surely, 2^4020132000 is an apocalyptic number.

4020132000 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 4020132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746410944).

4020132000 is an abundant number, since it is smaller than the sum of its proper divisors (9472689888).

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

4020132000 is a wasteful number, since it uses less digits than its factorization.

4020132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4020132000 is about 63404.5108805359. The cubic root of 4020132000 is about 1590.0597264064.

Adding to 4020132000 its reverse (2310204), we get a palindrome (4022442204).

The spelling of 4020132000 in words is "four billion, twenty million, one hundred thirty-two thousand".