24213420000 has 720 divisors, whose sum is σ = 107336541312. Its totient is φ = 5028480000.

The previous prime is 24213419969. The next prime is 24213420031. The reversal of 24213420000 is 2431242.

24213420000 is a `hidden beast` number, since 242 + 1 + 3 + 420 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24213419969) and next prime (24213420031).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13859127 + ... + 13860873.

Almost surely, 2^24213420000 is an apocalyptic number.

24213420000 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 24213420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53668270656).

24213420000 is an abundant number, since it is smaller than the sum of its proper divisors (83123121312).

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

24213420000 is a wasteful number, since it uses less digits than its factorization.

24213420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 24213420000 its reverse (2431242), we get a palindrome (24215851242).

The spelling of 24213420000 in words is "twenty-four billion, two hundred thirteen million, four hundred twenty thousand".