23532440414040 has 192 divisors, whose sum is σ = 77180667782400. Its totient is φ = 6217895878656.

The previous prime is 23532440414033. The next prime is 23532440414053. The reversal of 23532440414040 is 4041404423532.

23532440414040 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 244 + 0 + 4 + 1 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23532440413986 and 23532440414004.

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, 136558012 + ... + 136730228.

It is an arithmetic number, because the mean of its divisors is an integer number (401982644700).

Almost surely, 2^{23532440414040} is an apocalyptic number.

23532440414040 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 23532440414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38590333891200).

23532440414040 is an abundant number, since it is smaller than the sum of its proper divisors (53648227368360).

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

23532440414040 is a wasteful number, since it uses less digits than its factorization.

23532440414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175706 (or 175699 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 23532440414040 its reverse (4041404423532), we get a palindrome (27573844837572).

The spelling of 23532440414040 in words is "twenty-three trillion, five hundred thirty-two billion, four hundred forty million, four hundred fourteen thousand, forty".