24680042400 has 1152 divisors, whose sum is σ = 100793548800. Its totient is φ = 5175705600.

The previous prime is 24680042393. The next prime is 24680042407. The reversal of 24680042400 is 424008642.

It is an interprime number because it is at equal distance from previous prime (24680042393) and next prime (24680042407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24680042407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312405561 + ... + 312405639.

It is an arithmetic number, because the mean of its divisors is an integer number (87494400).

Almost surely, 2^24680042400 is an apocalyptic number.

24680042400 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 24680042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50396774400).

24680042400 is an abundant number, since it is smaller than the sum of its proper divisors (76113506400).

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

24680042400 is a wasteful number, since it uses less digits than its factorization.

24680042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 24680042400 in words is "twenty-four billion, six hundred eighty million, forty-two thousand, four hundred".