34220555040000 has 720 divisors, whose sum is σ = 130788697719680. Its totient is φ = 7778488320000.

The previous prime is 34220555039981. The next prime is 34220555040017. The reversal of 34220555040000 is 4055502243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 34220555040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 608131866 + ... + 608188134.

Almost surely, 2^{34220555040000} is an apocalyptic number.

34220555040000 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 34220555040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65394348859840).

34220555040000 is an abundant number, since it is smaller than the sum of its proper divisors (96568142679680).

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

34220555040000 is an equidigital number, since it uses as much as digits as its factorization.

34220555040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56496 (or 56467 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 34220555040000 in words is "thirty-four trillion, two hundred twenty billion, five hundred fifty-five million, forty thousand".