101432402002404 has 144 divisors (see below), whose sum is σ = 280520498643840. Its totient is φ = 30647775352320.

The previous prime is 101432402002391. The next prime is 101432402002441. The reversal of 101432402002404 is 404200204234101.

101432402002404 is a `hidden beast` number, since 1 + 0 + 1 + 432 + 4 + 0 + 200 + 24 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321091664 + ... + 1321168440.

It is an arithmetic number, because the mean of its divisors is an integer number (1948059018360).

Almost surely, 2^{101432402002404} 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 101432402002404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140260249321920).

101432402002404 is an abundant number, since it is smaller than the sum of its proper divisors (179088096641436).

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

101432402002404 is a wasteful number, since it uses less digits than its factorization.

101432402002404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86450 (or 86445 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 101432402002404 its reverse (404200204234101), we get a palindrome (505632606236505).

The spelling of 101432402002404 in words is "one hundred one trillion, four hundred thirty-two billion, four hundred two million, two thousand, four hundred four".