4132014000 has 80 divisors (see below), whose sum is σ = 13321632480. Its totient is φ = 1101868800.

The previous prime is 4132013987. The next prime is 4132014011. The reversal of 4132014000 is 4102314.

4132014000 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

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, 338335 + ... + 350334.

It is an arithmetic number, because the mean of its divisors is an integer number (166520406).

Almost surely, 2^4132014000 is an apocalyptic number.

4132014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132014000 is an abundant number, since it is smaller than the sum of its proper divisors (9189618480).

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

4132014000 is a wasteful number, since it uses less digits than its factorization.

4132014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688695 (or 688679 counting only the distinct ones).

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

The square root of 4132014000 is about 64280.7436173540. The cubic root of 4132014000 is about 1604.6756460658.

Adding to 4132014000 its reverse (4102314), we get a palindrome (4136116314).

The spelling of 4132014000 in words is "four billion, one hundred thirty-two million, fourteen thousand".