30217419540 has 432 divisors, whose sum is σ = 117620246016. Its totient is φ = 6143892480.

The previous prime is 30217419517. The next prime is 30217419559. The reversal of 30217419540 is 4591471203.

30217419540 is a `hidden beast` number, since 30 + 2 + 1 + 74 + 19 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30217419495 and 30217419504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7163512 + ... + 7167728.

It is an arithmetic number, because the mean of its divisors is an integer number (272269088).

Almost surely, 2^30217419540 is an apocalyptic number.

30217419540 is a gapful number since it is divisible by the number (30) 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 30217419540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58810123008).

30217419540 is an abundant number, since it is smaller than the sum of its proper divisors (87402826476).

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

30217419540 is a wasteful number, since it uses less digits than its factorization.

30217419540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 30217419540 in words is "thirty billion, two hundred seventeen million, four hundred nineteen thousand, five hundred forty".