234070940877840 has 480 divisors, whose sum is σ = 861337418198400. Its totient is φ = 56494140948480.

The previous prime is 234070940877817. The next prime is 234070940877857. The reversal of 234070940877840 is 48778049070432.

234070940877840 is a `hidden beast` number, since 2 + 3 + 407 + 0 + 9 + 40 + 87 + 78 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4028106706 + ... + 4028164814.

It is an arithmetic number, because the mean of its divisors is an integer number (1794452954580).

Almost surely, 2^{234070940877840} is an apocalyptic number.

234070940877840 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 234070940877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430668709099200).

234070940877840 is an abundant number, since it is smaller than the sum of its proper divisors (627266477320560).

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

234070940877840 is a wasteful number, since it uses less digits than its factorization.

234070940877840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60375 (or 60366 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 234070940877840 in words is "two hundred thirty-four trillion, seventy billion, nine hundred forty million, eight hundred seventy-seven thousand, eight hundred forty".