10200142402432 has 96 divisors (see below), whose sum is σ = 21482252946000. Its totient is φ = 4823567124480.

The previous prime is 10200142402399. The next prime is 10200142402453. The reversal of 10200142402432 is 23420424100201.

10200142402432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10200142402397 and 10200142402406.

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, 27494332 + ... + 27862852.

Almost surely, 2^{10200142402432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200142402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741126473000).

10200142402432 is an abundant number, since it is smaller than the sum of its proper divisors (11282110543568).

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

10200142402432 is an equidigital number, since it uses as much as digits as its factorization.

10200142402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369172 (or 369141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10200142402432 its reverse (23420424100201), we get a palindrome (33620566502633).

The spelling of 10200142402432 in words is "ten trillion, two hundred billion, one hundred forty-two million, four hundred two thousand, four hundred thirty-two".