234215943521040 has 1440 divisors, whose sum is σ = 921301115454720. Its totient is φ = 52842815520768.

The previous prime is 234215943520963. The next prime is 234215943521069. The reversal of 234215943521040 is 40125349512432.

234215943521040 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 1 + 594 + 3 + 5 + 2 + 10 + 40 = 666.

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 287 ways as a sum of consecutive naturals, for example, 50228593749 + ... + 50228598411.

It is an arithmetic number, because the mean of its divisors is an integer number (639792441288).

Almost surely, 2^{234215943521040} is an apocalyptic number.

234215943521040 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 234215943521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460650557727360).

234215943521040 is an abundant number, since it is smaller than the sum of its proper divisors (687085171933680).

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

234215943521040 is a wasteful number, since it uses less digits than its factorization.

234215943521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 234215943521040 in words is "two hundred thirty-four trillion, two hundred fifteen billion, nine hundred forty-three million, five hundred twenty-one thousand, forty".