35350564124040 has 128 divisors (see below), whose sum is σ = 115747517289600. Its totient is φ = 8565777285120.

The previous prime is 35350564124021. The next prime is 35350564124053. The reversal of 35350564124040 is 4042146505353.

It is a junction number, because it is equal to n+sod(n) for n = 35350564123983 and 35350564124001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3547975 + ... + 9126294.

It is an arithmetic number, because the mean of its divisors is an integer number (904277478825).

Almost surely, 2^{35350564124040} is an apocalyptic number.

35350564124040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35350564124040 is an abundant number, since it is smaller than the sum of its proper divisors (80396953165560).

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

35350564124040 is a wasteful number, since it uses less digits than its factorization.

35350564124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676407 (or 12676403 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 35350564124040 in words is "thirty-five trillion, three hundred fifty billion, five hundred sixty-four million, one hundred twenty-four thousand, forty".