35040261800960 has 352 divisors, whose sum is σ = 94534050143232. Its totient is φ = 12365341655040.

The previous prime is 35040261800939. The next prime is 35040261800977. The reversal of 35040261800960 is 6900816204053.

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, 2022283817 + ... + 2022301143.

Almost surely, 2^{35040261800960} 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 35040261800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47267025071616).

35040261800960 is an abundant number, since it is smaller than the sum of its proper divisors (59493788342272).

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

35040261800960 is a wasteful number, since it uses less digits than its factorization.

35040261800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18709 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 35040261800960 in words is "thirty-five trillion, forty billion, two hundred sixty-one million, eight hundred thousand, nine hundred sixty".