24525413252340 has 384 divisors, whose sum is σ = 94693783339008. Its totient is φ = 4577034885120.

The previous prime is 24525413252309. The next prime is 24525413252341. The reversal of 24525413252340 is 4325231452542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24525413252292 and 24525413252301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24525413252341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3296004 + ... + 7740443.

It is an arithmetic number, because the mean of its divisors is an integer number (246598394112).

Almost surely, 2^{24525413252340} is an apocalyptic number.

24525413252340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24525413252340 is an abundant number, since it is smaller than the sum of its proper divisors (70168370086668).

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

24525413252340 is a wasteful number, since it uses less digits than its factorization.

24525413252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036527 (or 11036525 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 24525413252340 in words is "twenty-four trillion, five hundred twenty-five billion, four hundred thirteen million, two hundred fifty-two thousand, three hundred forty".