10419509600 has 72 divisors (see below), whose sum is σ = 25464573288. Its totient is φ = 4163225600.

The previous prime is 10419509599. The next prime is 10419509651. The reversal of 10419509600 is 690591401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774935 + ... + 788265.

It is an arithmetic number, because the mean of its divisors is an integer number (353674629).

Almost surely, 2^10419509600 is an apocalyptic number.

10419509600 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 10419509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732286644).

10419509600 is an abundant number, since it is smaller than the sum of its proper divisors (15045063688).

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

10419509600 is a wasteful number, since it uses less digits than its factorization.

10419509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 10419509600 in words is "ten billion, four hundred nineteen million, five hundred nine thousand, six hundred".