23254021211040 has 288 divisors, whose sum is σ = 82813531731840. Its totient is φ = 5930816145408.

The previous prime is 23254021211021. The next prime is 23254021211051. The reversal of 23254021211040 is 4011212045232.

23254021211040 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 402 + 1 + 211 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23254021210995 and 23254021211013.

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, 354649299 + ... + 354714861.

It is an arithmetic number, because the mean of its divisors is an integer number (287546985180).

Almost surely, 2^{23254021211040} is an apocalyptic number.

23254021211040 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 23254021211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41406765865920).

23254021211040 is an abundant number, since it is smaller than the sum of its proper divisors (59559510520800).

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

23254021211040 is a wasteful number, since it uses less digits than its factorization.

23254021211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76316 (or 76305 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 23254021211040 its reverse (4011212045232), we get a palindrome (27265233256272).

The spelling of 23254021211040 in words is "twenty-three trillion, two hundred fifty-four billion, twenty-one million, two hundred eleven thousand, forty".