10401430240134 has 80 divisors (see below), whose sum is σ = 23419337161968. Its totient is φ = 3450454495488.

The previous prime is 10401430240087. The next prime is 10401430240181. The reversal of 10401430240134 is 43104203410401.

10401430240134 is a `hidden beast` number, since 1 + 0 + 401 + 4 + 3 + 0 + 240 + 13 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10401430240087) and next prime (10401430240181).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10401430240098 and 10401430240107.

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, 31119369 + ... + 31451835.

Almost surely, 2^{10401430240134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401430240134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709668580984).

10401430240134 is an abundant number, since it is smaller than the sum of its proper divisors (13017906921834).

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

10401430240134 is a wasteful number, since it uses less digits than its factorization.

10401430240134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333411 (or 333402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10401430240134 its reverse (43104203410401), we get a palindrome (53505633650535).

The spelling of 10401430240134 in words is "ten trillion, four hundred one billion, four hundred thirty million, two hundred forty thousand, one hundred thirty-four".