34514413096240 has 480 divisors, whose sum is σ = 103224136232448. Its totient is φ = 10499927961600.

The previous prime is 34514413096237. The next prime is 34514413096367. The reversal of 34514413096240 is 4269031441543.

It is a happy number.

It is a super-4 number, since 4×34514413096240⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5014439839 + ... + 5014446721.

Almost surely, 2^{34514413096240} 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 34514413096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51612068116224).

34514413096240 is an abundant number, since it is smaller than the sum of its proper divisors (68709723136208).

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

34514413096240 is a wasteful number, since it uses less digits than its factorization.

34514413096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 34514413096240 in words is "thirty-four trillion, five hundred fourteen billion, four hundred thirteen million, ninety-six thousand, two hundred forty".