4014132000 has 96 divisors (see below), whose sum is σ = 13150335744. Its totient is φ = 1070432000.

The previous prime is 4014131993. The next prime is 4014132007. The reversal of 4014132000 is 2314104.

It is an interprime number because it is at equal distance from previous prime (4014131993) and next prime (4014132007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4014132000² = 32226511426848000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4014132007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155256 + ... + 179255.

It is an arithmetic number, because the mean of its divisors is an integer number (136982664).

Almost surely, 2^4014132000 is an apocalyptic number.

4014132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014132000 is an abundant number, since it is smaller than the sum of its proper divisors (9136203744).

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

4014132000 is a wasteful number, since it uses less digits than its factorization.

4014132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334539 (or 334521 counting only the distinct ones).

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

The square root of 4014132000 is about 63357.1779674569. The cubic root of 4014132000 is about 1589.2682840202.

Adding to 4014132000 its reverse (2314104), we get a palindrome (4016446104).

The spelling of 4014132000 in words is "four billion, fourteen million, one hundred thirty-two thousand".