10334001004000 has 384 divisors, whose sum is σ = 27055485475200. Its totient is φ = 3865754828800.

The previous prime is 10334001003973. The next prime is 10334001004001. The reversal of 10334001004000 is 40010043301.

10334001004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334001004001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10141315491 + ... + 10141316509.

It is an arithmetic number, because the mean of its divisors is an integer number (70456993425).

Almost surely, 2^{10334001004000} is an apocalyptic number.

10334001004000 is a gapful number since it is divisible by the number (10) 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 10334001004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527742737600).

10334001004000 is an abundant number, since it is smaller than the sum of its proper divisors (16721484471200).

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

10334001004000 is a wasteful number, since it uses less digits than its factorization.

10334001004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10334001004000 its reverse (40010043301), we get a palindrome (10374011047301).

The spelling of 10334001004000 in words is "ten trillion, three hundred thirty-four billion, one million, four thousand".