34414511040 has 1344 divisors, whose sum is σ = 157126838400. Its totient is φ = 7064838144.

The previous prime is 34414511039. The next prime is 34414511057. The reversal of 34414511040 is 4011541443.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34414510995 and 34414511013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 930121902 + ... + 930121938.

It is an arithmetic number, because the mean of its divisors is an integer number (116909850).

Almost surely, 2^34414511040 is an apocalyptic number.

34414511040 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 34414511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78563419200).

34414511040 is an abundant number, since it is smaller than the sum of its proper divisors (122712327360).

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

34414511040 is a wasteful number, since it uses less digits than its factorization.

34414511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 34414511040 in words is "thirty-four billion, four hundred fourteen million, five hundred eleven thousand, forty".