234433406666400 has 72 divisors (see below), whose sum is σ = 763080738706944. Its totient is φ = 62515575110400.

The previous prime is 234433406666399. The next prime is 234433406666441. The reversal of 234433406666400 is 4666604334432.

It is a happy number.

It is a super-2 number, since 2×234433406666400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48840290656 + ... + 48840295455.

It is an arithmetic number, because the mean of its divisors is an integer number (10598343593152).

Almost surely, 2^{234433406666400} is an apocalyptic number.

234433406666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234433406666400 is an abundant number, since it is smaller than the sum of its proper divisors (528647332040544).

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

234433406666400 is a wasteful number, since it uses less digits than its factorization.

234433406666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97680586134 (or 97680586121 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 51.

The spelling of 234433406666400 in words is "two hundred thirty-four trillion, four hundred thirty-three billion, four hundred six million, six hundred sixty-six thousand, four hundred".