35420534504001 has 24 divisors (see below), whose sum is σ = 51424006429224. Its totient is φ = 23493228595200.

The previous prime is 35420534503999. The next prime is 35420534504011. The reversal of 35420534504001 is 10040543502453.

35420534504001 is a `hidden beast` number, since 3 + 5 + 4 + 205 + 3 + 45 + 0 + 400 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8750953156401 + 26669581347600 = 2958201^2 + 5164260^2 .

It is not a de Polignac number, because 35420534504001 - 2¹ = 35420534503999 is a prime.

It is a super-3 number, since 3×35420534504001³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (35420534504011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76364155 + ... + 76826591.

It is an arithmetic number, because the mean of its divisors is an integer number (2142666934551).

Almost surely, 2^{35420534504001} is an apocalyptic number.

It is an amenable number.

35420534504001 is a deficient number, since it is larger than the sum of its proper divisors (16003471925223).

35420534504001 is a wasteful number, since it uses less digits than its factorization.

35420534504001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505841 (or 505838 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 35420534504001 in words is "thirty-five trillion, four hundred twenty billion, five hundred thirty-four million, five hundred four thousand, one".