34414025472000 has 1344 divisors, whose sum is σ = 130909794986880. Its totient is φ = 9023643648000.

The previous prime is 34414025471963. The next prime is 34414025472011. The reversal of 34414025472000 is 27452041443.

34414025472000 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 402 + 5 + 47 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11384062489 + ... + 11384065511.

It is an arithmetic number, because the mean of its divisors is an integer number (97403121270).

Almost surely, 2^{34414025472000} is an apocalyptic number.

34414025472000 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 34414025472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454897493440).

34414025472000 is an abundant number, since it is smaller than the sum of its proper divisors (96495769514880).

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

34414025472000 is an frugal number, since it uses more digits than its factorization.

34414025472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 34414025472000 in words is "thirty-four trillion, four hundred fourteen billion, twenty-five million, four hundred seventy-two thousand".