34541018807040 has 216 divisors, whose sum is σ = 119516795798400. Its totient is φ = 9210285637632.

The previous prime is 34541018807017. The next prime is 34541018807137. The reversal of 34541018807040 is 4070881014543.

34541018807040 is a `hidden beast` number, since 3 + 45 + 410 + 18 + 80 + 70 + 40 = 666.

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 23 ways as a sum of consecutive naturals, for example, 174993844 + ... + 175191116.

Almost surely, 2^{34541018807040} is an apocalyptic number.

34541018807040 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 34541018807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59758397899200).

34541018807040 is an abundant number, since it is smaller than the sum of its proper divisors (84975776991360).

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

34541018807040 is a wasteful number, since it uses less digits than its factorization.

34541018807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212499 (or 212482 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 34541018807040 in words is "thirty-four trillion, five hundred forty-one billion, eighteen million, eight hundred seven thousand, forty".