10404030301000 has 192 divisors, whose sum is σ = 28600606710000. Its totient is φ = 3531776640000.

The previous prime is 10404030300949. The next prime is 10404030301019. The reversal of 10404030301000 is 10303040401.

It can be written as a sum of positive squares in 8 ways, for example, as 3932185884676 + 6471844416324 = 1982974^2 + 2543982^2 .

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 47 ways as a sum of consecutive naturals, for example, 3897876 + ... + 6000124.

Almost surely, 2^{10404030301000} is an apocalyptic number.

10404030301000 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 10404030301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300303355000).

10404030301000 is an abundant number, since it is smaller than the sum of its proper divisors (18196576409000).

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

10404030301000 is a wasteful number, since it uses less digits than its factorization.

10404030301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102385 (or 2102364 counting only the distinct ones).

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

Adding to 10404030301000 its reverse (10303040401), we get a palindrome (10414333341401).

The spelling of 10404030301000 in words is "ten trillion, four hundred four billion, thirty million, three hundred one thousand".