34414551440 has 80 divisors (see below), whose sum is σ = 80749688832. Its totient is φ = 13639514112.

The previous prime is 34414551419. The next prime is 34414551539. The reversal of 34414551440 is 4415541443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34414551440² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34414551440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9924587 + ... + 9928053.

Almost surely, 2^34414551440 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 34414551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40374844416).

34414551440 is an abundant number, since it is smaller than the sum of its proper divisors (46335137392).

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

34414551440 is a wasteful number, since it uses less digits than its factorization.

34414551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 34414551440 in words is "thirty-four billion, four hundred fourteen million, five hundred fifty-one thousand, four hundred forty".