234405900000 has 720 divisors, whose sum is σ = 883020389328. Its totient is φ = 60963840000.

The previous prime is 234405899977. The next prime is 234405900017. The reversal of 234405900000 is 9504432.

234405900000 is a `hidden beast` number, since 2 + 34 + 40 + 590 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×234405900000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 348299664 + ... + 348300336.

Almost surely, 2^234405900000 is an apocalyptic number.

234405900000 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 234405900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441510194664).

234405900000 is an abundant number, since it is smaller than the sum of its proper divisors (648614489328).

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

234405900000 is an frugal number, since it uses more digits than its factorization.

234405900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 234405900000 in words is "two hundred thirty-four billion, four hundred five million, nine hundred thousand".