4132201500 has 384 divisors, whose sum is σ = 15515136000. Its totient is φ = 930009600.

The previous prime is 4132201471. The next prime is 4132201517. The reversal of 4132201500 is 51022314.

4132201500 is a `hidden beast` number, since 413 + 2 + 201 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6898201 + ... + 6898799.

It is an arithmetic number, because the mean of its divisors is an integer number (40404000).

Almost surely, 2^4132201500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757568000).

4132201500 is an abundant number, since it is smaller than the sum of its proper divisors (11382934500).

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

4132201500 is a wasteful number, since it uses less digits than its factorization.

4132201500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4132201500 is about 64282.2020469119. The cubic root of 4132201500 is about 1604.6999176948.

Adding to 4132201500 its reverse (51022314), we get a palindrome (4183223814).

The spelling of 4132201500 in words is "four billion, one hundred thirty-two million, two hundred one thousand, five hundred".