10419321000 has 256 divisors, whose sum is σ = 35971153920. Its totient is φ = 2489760000.

The previous prime is 10419320971. The next prime is 10419321019. The reversal of 10419321000 is 12391401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2340777 + ... + 2345223.

It is an arithmetic number, because the mean of its divisors is an integer number (140512320).

Almost surely, 2^10419321000 is an apocalyptic number.

10419321000 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 10419321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985576960).

10419321000 is an abundant number, since it is smaller than the sum of its proper divisors (25551832920).

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

10419321000 is a wasteful number, since it uses less digits than its factorization.

10419321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10419321000 in words is "ten billion, four hundred nineteen million, three hundred twenty-one thousand".