4130040004000 has 192 divisors, whose sum is σ = 10275898913280. Its totient is φ = 1631193292800.

The previous prime is 4130040003997. The next prime is 4130040004021. The reversal of 4130040004000 is 4000400314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170319877 + ... + 170344123.

It is an arithmetic number, because the mean of its divisors is an integer number (53520306840).

Almost surely, 2^{4130040004000} is an apocalyptic number.

4130040004000 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 4130040004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137949456640).

4130040004000 is an abundant number, since it is smaller than the sum of its proper divisors (6145858909280).

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

4130040004000 is a wasteful number, since it uses less digits than its factorization.

4130040004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24808 (or 24790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4130040004000 its reverse (4000400314), we get a palindrome (4134040404314).

The spelling of 4130040004000 in words is "four trillion, one hundred thirty billion, forty million, four thousand".