34218947450800 has 240 divisors, whose sum is σ = 99455661930240. Its totient is φ = 11064216683520.

The previous prime is 34218947450777. The next prime is 34218947450801. The reversal of 34218947450800 is 805474981243.

It is a super-2 number, since 2×34218947450800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34218947450801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408582 + ... + 8391781.

It is an arithmetic number, because the mean of its divisors is an integer number (414398591376).

Almost surely, 2^{34218947450800} 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 34218947450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49727830965120).

34218947450800 is an abundant number, since it is smaller than the sum of its proper divisors (65236714479440).

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

34218947450800 is a wasteful number, since it uses less digits than its factorization.

34218947450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800460 (or 9800449 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 34218947450800 in words is "thirty-four trillion, two hundred eighteen billion, nine hundred forty-seven million, four hundred fifty thousand, eight hundred".