35040936960 has 440 divisors, whose sum is σ = 132205413120. Its totient is φ = 8850456576.

The previous prime is 35040936943. The next prime is 35040936971. The reversal of 35040936960 is 6963904053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7877457 + ... + 7881903.

It is an arithmetic number, because the mean of its divisors is an integer number (300466848).

Almost surely, 2^35040936960 is an apocalyptic number.

35040936960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35040936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66102706560).

35040936960 is an abundant number, since it is smaller than the sum of its proper divisors (97164476160).

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

35040936960 is a wasteful number, since it uses less digits than its factorization.

35040936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 35040936960 in words is "thirty-five billion, forty million, nine hundred thirty-six thousand, nine hundred sixty".