229608491040 has 288 divisors, whose sum is σ = 801278530416. Its totient is φ = 59851284480.

The previous prime is 229608491029. The next prime is 229608491051. The reversal of 229608491040 is 40194806922.

229608491040 is a `hidden beast` number, since 2 + 29 + 608 + 4 + 9 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229608491029) and next prime (229608491051).

It can be written as a sum of positive squares in 8 ways, for example, as 72440645904 + 157167845136 = 269148^2 + 396444^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21135210 + ... + 21146070.

Almost surely, 2^229608491040 is an apocalyptic number.

229608491040 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 229608491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400639265208).

229608491040 is an abundant number, since it is smaller than the sum of its proper divisors (571670039376).

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

229608491040 is a wasteful number, since it uses less digits than its factorization.

229608491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 229608491040 in words is "two hundred twenty-nine billion, six hundred eight million, four hundred ninety-one thousand, forty".