234126627840 has 1056 divisors, whose sum is σ = 961102461696. Its totient is φ = 51597803520.

The previous prime is 234126627803. The next prime is 234126627841. The reversal of 234126627840 is 48726621432.

It is a happy number.

234126627840 is a `hidden beast` number, since 2 + 3 + 4 + 12 + 6 + 627 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234126627841) 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, 1436359599 + ... + 1436359761.

Almost surely, 2^234126627840 is an apocalyptic number.

234126627840 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 234126627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480551230848).

234126627840 is an abundant number, since it is smaller than the sum of its proper divisors (726975833856).

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

234126627840 is a wasteful number, since it uses less digits than its factorization.

234126627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 234126627840 in words is "two hundred thirty-four billion, one hundred twenty-six million, six hundred twenty-seven thousand, eight hundred forty".