10410142032 has 200 divisors, whose sum is σ = 32266852200. Its totient is φ = 3228622848.

The previous prime is 10410142021. The next prime is 10410142051. The reversal of 10410142032 is 23024101401.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 10408896576 = 1116^2 + 102024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10410141996 and 10410142014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1958194 + ... + 1963502.

It is an arithmetic number, because the mean of its divisors is an integer number (161334261).

Almost surely, 2^10410142032 is an apocalyptic number.

10410142032 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 10410142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133426100).

10410142032 is an abundant number, since it is smaller than the sum of its proper divisors (21856710168).

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

10410142032 is a wasteful number, since it uses less digits than its factorization.

10410142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10410142032 its reverse (23024101401), we get a palindrome (33434243433).

The spelling of 10410142032 in words is "ten billion, four hundred ten million, one hundred forty-two thousand, thirty-two".