10420140102435 has 128 divisors (see below), whose sum is σ = 21287237713920. Its totient is φ = 4737419913600.

The previous prime is 10420140102391. The next prime is 10420140102443. The reversal of 10420140102435 is 53420104102401.

10420140102435 is a `hidden beast` number, since 1 + 0 + 4 + 201 + 401 + 0 + 24 + 35 = 666.

It is not a de Polignac number, because 10420140102435 - 2⁶ = 10420140102371 is a prime.

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 = 10420140102399 and 10420140102408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144145350 + ... + 144217620.

It is an arithmetic number, because the mean of its divisors is an integer number (166306544640).

Almost surely, 2^{10420140102435} is an apocalyptic number.

10420140102435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10420140102435 is an abundant number, since it is smaller than the sum of its proper divisors (10867097611485).

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

10420140102435 is a wasteful number, since it uses less digits than its factorization.

10420140102435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73126 (or 73120 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10420140102435 its reverse (53420104102401), we get a palindrome (63840244204836).

The spelling of 10420140102435 in words is "ten trillion, four hundred twenty billion, one hundred forty million, one hundred two thousand, four hundred thirty-five".