234100306440 has 2560 divisors, whose sum is σ = 1159183872000. Its totient is φ = 40758681600.

The previous prime is 234100306423. The next prime is 234100306463. The reversal of 234100306440 is 44603001432.

234100306440 is a `hidden beast` number, since 2 + 3 + 4 + 10 + 0 + 3 + 0 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1787025175 + ... + 1787025305.

It is an arithmetic number, because the mean of its divisors is an integer number (452806200).

Almost surely, 2^234100306440 is an apocalyptic number.

234100306440 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 234100306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579591936000).

234100306440 is an abundant number, since it is smaller than the sum of its proper divisors (925083565560).

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

234100306440 is a wasteful number, since it uses less digits than its factorization.

234100306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234100306440 its reverse (44603001432), we get a palindrome (278703307872).

The spelling of 234100306440 in words is "two hundred thirty-four billion, one hundred million, three hundred six thousand, four hundred forty".