234964477440 has 960 divisors, whose sum is σ = 1049757096960. Its totient is φ = 47129886720.

The previous prime is 234964477367. The next prime is 234964477441. The reversal of 234964477440 is 44774469432.

234964477440 is a `hidden beast` number, since 2 + 3 + 4 + 96 + 44 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234964477441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51446037 + ... + 51450603.

It is an arithmetic number, because the mean of its divisors is an integer number (1093496976).

Almost surely, 2^234964477440 is an apocalyptic number.

234964477440 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 234964477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524878548480).

234964477440 is an abundant number, since it is smaller than the sum of its proper divisors (814792619520).

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

234964477440 is a wasteful number, since it uses less digits than its factorization.

234964477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 234964477440 in words is "two hundred thirty-four billion, nine hundred sixty-four million, four hundred seventy-seven thousand, four hundred forty".