10507424101434 has 192 divisors, whose sum is σ = 25047501093888. Its totient is φ = 3163892659200.

The previous prime is 10507424101399. The next prime is 10507424101501. The reversal of 10507424101434 is 43410142470501.

10507424101434 is a `hidden beast` number, since 1 + 0 + 50 + 74 + 2 + 4 + 101 + 434 = 666.

It is a super-2 number, since 2×10507424101434² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2174997399 + ... + 2175002229.

It is an arithmetic number, because the mean of its divisors is an integer number (130455734864).

Almost surely, 2^{10507424101434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507424101434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523750546944).

10507424101434 is an abundant number, since it is smaller than the sum of its proper divisors (14540076992454).

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

10507424101434 is a wasteful number, since it uses less digits than its factorization.

10507424101434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 10507424101434 its reverse (43410142470501), we get a palindrome (53917566571935).

The spelling of 10507424101434 in words is "ten trillion, five hundred seven billion, four hundred twenty-four million, one hundred one thousand, four hundred thirty-four".