24940425968640 has 3520 divisors, whose sum is σ = 115442717854464. Its totient is φ = 5008426795008.

The previous prime is 24940425968597. The next prime is 24940425968657. The reversal of 24940425968640 is 4686952404942.

24940425968640 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 0 + 425 + 96 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 74007198552 + ... + 74007198888.

Almost surely, 2^{24940425968640} is an apocalyptic number.

24940425968640 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 24940425968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57721358927232).

24940425968640 is an abundant number, since it is smaller than the sum of its proper divisors (90502291885824).

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

24940425968640 is a wasteful number, since it uses less digits than its factorization.

24940425968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 24940425968640 in words is "twenty-four trillion, nine hundred forty billion, four hundred twenty-five million, nine hundred sixty-eight thousand, six hundred forty".