35424108129408 has 128 divisors (see below), whose sum is σ = 94217860403520. Its totient is φ = 11792659746816.

The previous prime is 35424108129287. The next prime is 35424108129433. The reversal of 35424108129408 is 80492180142453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×35424108129408³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097319466 + ... + 3097330902.

Almost surely, 2^{35424108129408} 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 35424108129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47108930201760).

35424108129408 is an abundant number, since it is smaller than the sum of its proper divisors (58793752274112).

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

35424108129408 is a wasteful number, since it uses less digits than its factorization.

35424108129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21254 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 35424108129408 in words is "thirty-five trillion, four hundred twenty-four billion, one hundred eight million, one hundred twenty-nine thousand, four hundred eight".