1004100334000 has 160 divisors (see below), whose sum is σ = 2562587501760. Its totient is φ = 379475712000.

The previous prime is 1004100333979. The next prime is 1004100334007. The reversal of 1004100334000 is 4330014001.

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

It is not an unprimeable number, because it can be changed into a prime (1004100334007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14138580 + ... + 14209420.

It is an arithmetic number, because the mean of its divisors is an integer number (16016171886).

Almost surely, 2^{1004100334000} is an apocalyptic number.

1004100334000 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 1004100334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281293750880).

1004100334000 is an abundant number, since it is smaller than the sum of its proper divisors (1558487167760).

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

1004100334000 is a wasteful number, since it uses less digits than its factorization.

1004100334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71256 (or 71240 counting only the distinct ones).

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

Adding to 1004100334000 its reverse (4330014001), we get a palindrome (1008430348001).

The spelling of 1004100334000 in words is "one trillion, four billion, one hundred million, three hundred thirty-four thousand".