10400142132 has 72 divisors (see below), whose sum is σ = 26596049480. Its totient is φ = 3426416640.

The previous prime is 10400142101. The next prime is 10400142133. The reversal of 10400142132 is 23124100401.

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 10372200336 = 5286^2 + 101844^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400142133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696032 + ... + 1702152.

Almost surely, 2^10400142132 is an apocalyptic number.

10400142132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400142132 is an abundant number, since it is smaller than the sum of its proper divisors (16195907348).

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

10400142132 is a wasteful number, since it uses less digits than its factorization.

10400142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673 (or 6668 counting only the distinct ones).

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

Adding to 10400142132 its reverse (23124100401), we get a palindrome (33524242533).

The spelling of 10400142132 in words is "ten billion, four hundred million, one hundred forty-two thousand, one hundred thirty-two".