234345255235040 has 192 divisors, whose sum is σ = 577050231582720. Its totient is φ = 89867692830720.

The previous prime is 234345255234983. The next prime is 234345255235097. The reversal of 234345255235040 is 40532552543432.

It is an interprime number because it is at equal distance from previous prime (234345255234983) and next prime (234345255235097).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123734249 + ... + 125613911.

It is an arithmetic number, because the mean of its divisors is an integer number (3005469956160).

Almost surely, 2^{234345255235040} is an apocalyptic number.

234345255235040 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 234345255235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288525115791360).

234345255235040 is an abundant number, since it is smaller than the sum of its proper divisors (342704976347680).

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

234345255235040 is a wasteful number, since it uses less digits than its factorization.

234345255235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880065 (or 1880057 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 47.

The spelling of 234345255235040 in words is "two hundred thirty-four trillion, three hundred forty-five billion, two hundred fifty-five million, two hundred thirty-five thousand, forty".