1004132010000 has 300 divisors, whose sum is σ = 3770697453072. Its totient is φ = 229515552000.

The previous prime is 1004132009981. The next prime is 1004132010041. The reversal of 1004132010000 is 102314001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1128459 + ... + 1811541.

Almost surely, 2^{1004132010000} is an apocalyptic number.

1004132010000 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 1004132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885348726536).

1004132010000 is an abundant number, since it is smaller than the sum of its proper divisors (2766565443072).

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

1004132010000 is an equidigital number, since it uses as much as digits as its factorization.

1004132010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683128 (or 683100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1004132010000 its reverse (102314001), we get a palindrome (1004234324001).

The spelling of 1004132010000 in words is "one trillion, four billion, one hundred thirty-two million, ten thousand".