10432419840 has 384 divisors, whose sum is σ = 37562616000. Its totient is φ = 2746220544.

The previous prime is 10432419827. The next prime is 10432419871. The reversal of 10432419840 is 4891423401.

It is a happy number.

10432419840 is a `hidden beast` number, since 104 + 324 + 198 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10432419795 and 10432419804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26818366 + ... + 26818754.

Almost surely, 2^10432419840 is an apocalyptic number.

10432419840 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 10432419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781308000).

10432419840 is an abundant number, since it is smaller than the sum of its proper divisors (27130196160).

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

10432419840 is an equidigital number, since it uses as much as digits as its factorization.

10432419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10432419840 in words is "ten billion, four hundred thirty-two million, four hundred nineteen thousand, eight hundred forty".