10404510000 has 400 divisors, whose sum is σ = 37150907904. Its totient is φ = 2494976000.

The previous prime is 10404509987. The next prime is 10404510013. The reversal of 10404510000 is 1540401.

It is an interprime number because it is at equal distance from previous prime (10404509987) and next prime (10404510013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11729557 + ... + 11730443.

Almost surely, 2^10404510000 is an apocalyptic number.

10404510000 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 10404510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575453952).

10404510000 is an abundant number, since it is smaller than the sum of its proper divisors (26746397904).

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

10404510000 is a wasteful number, since it uses less digits than its factorization.

10404510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 10404510000 in words is "ten billion, four hundred four million, five hundred ten thousand".