234414033150000 has 480 divisors, whose sum is σ = 829916500444416. Its totient is φ = 56539100800000.

The previous prime is 234414033149941. The next prime is 234414033150001. The reversal of 234414033150000 is 51330414432.

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 234414033150000.

It is not an unprimeable number, because it can be changed into a prime (234414033150001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324689419 + ... + 325410581.

Almost surely, 2^{234414033150000} is an apocalyptic number.

234414033150000 is a gapful number since it is divisible by the number (20) 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 234414033150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414958250222208).

234414033150000 is an abundant number, since it is smaller than the sum of its proper divisors (595502467294416).

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

234414033150000 is a wasteful number, since it uses less digits than its factorization.

234414033150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721407 (or 721381 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 234414033150000 its reverse (51330414432), we get a palindrome (234465363564432).

The spelling of 234414033150000 in words is "two hundred thirty-four trillion, four hundred fourteen billion, thirty-three million, one hundred fifty thousand".