21417074280 has 384 divisors, whose sum is σ = 81165427200. Its totient is φ = 4796983296.

The previous prime is 21417074219. The next prime is 21417074309. The reversal of 21417074280 is 8247071412.

21417074280 is a `hidden beast` number, since 214 + 17 + 0 + 7 + 428 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28291662 + ... + 28292418.

It is an arithmetic number, because the mean of its divisors is an integer number (211368300).

Almost surely, 2^21417074280 is an apocalyptic number.

21417074280 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 21417074280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582713600).

21417074280 is an abundant number, since it is smaller than the sum of its proper divisors (59748352920).

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

21417074280 is a wasteful number, since it uses less digits than its factorization.

21417074280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 21417074280 in words is "twenty-one billion, four hundred seventeen million, seventy-four thousand, two hundred eighty".