35014041869040 has 1120 divisors, whose sum is σ = 140869120049280. Its totient is φ = 8021147295744.

The previous prime is 35014041869021. The next prime is 35014041869047. The reversal of 35014041869040 is 4096814041053.

35014041869040 is a `hidden beast` number, since 3 + 5 + 0 + 140 + 418 + 6 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×35014041869040² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35014041869047) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 645167026 + ... + 645221294.

It is an arithmetic number, because the mean of its divisors is an integer number (125776000044).

Almost surely, 2^{35014041869040} is an apocalyptic number.

35014041869040 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 35014041869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70434560024640).

35014041869040 is an abundant number, since it is smaller than the sum of its proper divisors (105855078180240).

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

35014041869040 is a wasteful number, since it uses less digits than its factorization.

35014041869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54373 (or 54352 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 35014041869040 in words is "thirty-five trillion, fourteen billion, forty-one million, eight hundred sixty-nine thousand, forty".