217240448040 has 320 divisors, whose sum is σ = 910341970560. Its totient is φ = 45140820480.

The previous prime is 217240448023. The next prime is 217240448101. The reversal of 217240448040 is 40844042712.

217240448040 is a `hidden beast` number, since 2 + 172 + 4 + 0 + 4 + 480 + 4 + 0 = 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 = 217240447986 and 217240448004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185907 + ... + 684866.

It is an arithmetic number, because the mean of its divisors is an integer number (2844818658).

Almost surely, 2^217240448040 is an apocalyptic number.

217240448040 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 217240448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455170985280).

217240448040 is an abundant number, since it is smaller than the sum of its proper divisors (693101522520).

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

217240448040 is a wasteful number, since it uses less digits than its factorization.

217240448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870814 (or 870801 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 217240448040 in words is "two hundred seventeen billion, two hundred forty million, four hundred forty-eight thousand, forty".