10214432424432 has 320 divisors, whose sum is σ = 31567139573760. Its totient is φ = 3154607824896.

The previous prime is 10214432424421. The next prime is 10214432424457. The reversal of 10214432424432 is 23442423441201.

10214432424432 is a `hidden beast` number, since 1 + 0 + 2 + 144 + 32 + 42 + 443 + 2 = 666.

10214432424432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 45185478 + ... + 45410970.

It is an arithmetic number, because the mean of its divisors is an integer number (98647311168).

Almost surely, 2^{10214432424432} is an apocalyptic number.

10214432424432 is a gapful number since it is divisible by the number (12) 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 10214432424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783569786880).

10214432424432 is an abundant number, since it is smaller than the sum of its proper divisors (21352707149328).

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

10214432424432 is a wasteful number, since it uses less digits than its factorization.

10214432424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225677 (or 225665 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10214432424432 its reverse (23442423441201), we get a palindrome (33656855865633).

The spelling of 10214432424432 in words is "ten trillion, two hundred fourteen billion, four hundred thirty-two million, four hundred twenty-four thousand, four hundred thirty-two".