234953699040 has 288 divisors, whose sum is σ = 847999152000. Its totient is φ = 59073960960.

The previous prime is 234953699027. The next prime is 234953699053. The reversal of 234953699040 is 40996359432.

234953699040 is a `hidden beast` number, since 2 + 3 + 495 + 3 + 69 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234953699027) and next prime (234953699053).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×234953699040⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5752611 + ... + 5793309.

It is an arithmetic number, because the mean of its divisors is an integer number (2944441500).

Almost surely, 2^234953699040 is an apocalyptic number.

234953699040 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 234953699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423999576000).

234953699040 is an abundant number, since it is smaller than the sum of its proper divisors (613045452960).

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

234953699040 is a wasteful number, since it uses less digits than its factorization.

234953699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950 (or 40939 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 234953699040 in words is "two hundred thirty-four billion, nine hundred fifty-three million, six hundred ninety-nine thousand, forty".