10401420315132 has 144 divisors (see below), whose sum is σ = 32805874483200. Its totient is φ = 2699554366080.

The previous prime is 10401420315049. The next prime is 10401420315133. The reversal of 10401420315132 is 23151302410401.

10401420315132 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 142 + 0 + 3 + 1 + 513 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10401420315096 and 10401420315105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401420315133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078494 + ... + 5012282.

It is an arithmetic number, because the mean of its divisors is an integer number (227818572800).

Almost surely, 2^{10401420315132} is an apocalyptic number.

10401420315132 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 10401420315132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402937241600).

10401420315132 is an abundant number, since it is smaller than the sum of its proper divisors (22404454168068).

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

10401420315132 is a wasteful number, since it uses less digits than its factorization.

10401420315132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935096 (or 2935091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10401420315132 its reverse (23151302410401), we get a palindrome (33552722725533).

The spelling of 10401420315132 in words is "ten trillion, four hundred one billion, four hundred twenty million, three hundred fifteen thousand, one hundred thirty-two".