35201234672142 has 128 divisors (see below), whose sum is σ = 89295542968320. Its totient is φ = 8984852365440.

The previous prime is 35201234672101. The next prime is 35201234672171. The reversal of 35201234672142 is 24127643210253.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 35201234672094 and 35201234672103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73166023 + ... + 73645565.

It is an arithmetic number, because the mean of its divisors is an integer number (697621429440).

Almost surely, 2^{35201234672142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35201234672142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44647771484160).

35201234672142 is an abundant number, since it is smaller than the sum of its proper divisors (54094308296178).

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

35201234672142 is a wasteful number, since it uses less digits than its factorization.

35201234672142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482318.

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 35201234672142 its reverse (24127643210253), we get a palindrome (59328877882395).

The spelling of 35201234672142 in words is "thirty-five trillion, two hundred one billion, two hundred thirty-four million, six hundred seventy-two thousand, one hundred forty-two".