4032130034000 has 160 divisors (see below), whose sum is σ = 9898617010464. Its totient is φ = 1588284518400.

The previous prime is 4032130033969. The next prime is 4032130034011. The reversal of 4032130034000 is 4300312304.

It can be written as a sum of positive squares in 16 ways, for example, as 3599808003856 + 432322030144 = 1897316^2 + 657512^2 .

It is a super-2 number, since 2×4032130034000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95316854 + ... + 95359146.

Almost surely, 2^{4032130034000} is an apocalyptic number.

4032130034000 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 4032130034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949308505232).

4032130034000 is an abundant number, since it is smaller than the sum of its proper divisors (5866486976464).

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

4032130034000 is a wasteful number, since it uses less digits than its factorization.

4032130034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43042 (or 43026 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4032130034000 its reverse (4300312304), we get a palindrome (4036430346304).

The spelling of 4032130034000 in words is "four trillion, thirty-two billion, one hundred thirty million, thirty-four thousand".