234514909440 has 648 divisors, whose sum is σ = 966986806968. Its totient is φ = 52290846720.

The previous prime is 234514909397. The next prime is 234514909451. The reversal of 234514909440 is 44909415432.

234514909440 is a `hidden beast` number, since 2 + 3 + 4 + 514 + 9 + 0 + 94 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9429186816 + 225085722624 = 97104^2 + 474432^2 .

It is a super-2 number, since 2×234514909440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23138614 + ... + 23148746.

It is an arithmetic number, because the mean of its divisors is an integer number (1492263591).

Almost surely, 2^234514909440 is an apocalyptic number.

234514909440 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 234514909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483493403484).

234514909440 is an abundant number, since it is smaller than the sum of its proper divisors (732471897528).

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

234514909440 is a wasteful number, since it uses less digits than its factorization.

234514909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 234514909440 in words is "two hundred thirty-four billion, five hundred fourteen million, nine hundred nine thousand, four hundred forty".