35040400351352 has 128 divisors (see below), whose sum is σ = 75205954137600. Its totient is φ = 15158288140800.

The previous prime is 35040400351349. The next prime is 35040400351391. The reversal of 35040400351352 is 25315300404053.

It is a happy number.

It is a congruent number.

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, 932576438 + ... + 932614010.

It is an arithmetic number, because the mean of its divisors is an integer number (587546516700).

Almost surely, 2^{35040400351352} 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 35040400351352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602977068800).

35040400351352 is an abundant number, since it is smaller than the sum of its proper divisors (40165553786248).

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

35040400351352 is a wasteful number, since it uses less digits than its factorization.

35040400351352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42837 (or 42833 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 35040400351352 in words is "thirty-five trillion, forty billion, four hundred million, three hundred fifty-one thousand, three hundred fifty-two".