34096719450000 has 240 divisors, whose sum is σ = 110494539771840. Its totient is φ = 9059622720000.

The previous prime is 34096719449999. The next prime is 34096719450049. The reversal of 34096719450000 is 5491769043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41139691 + ... + 41960309.

It is an arithmetic number, because the mean of its divisors is an integer number (460393915716).

Almost surely, 2^{34096719450000} is an apocalyptic number.

34096719450000 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 34096719450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55247269885920).

34096719450000 is an abundant number, since it is smaller than the sum of its proper divisors (76397820321840).

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

34096719450000 is an equidigital number, since it uses as much as digits as its factorization.

34096719450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820932 (or 820906 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 34096719450000 in words is "thirty-four trillion, ninety-six billion, seven hundred nineteen million, four hundred fifty thousand".