229248541440 has 1152 divisors, whose sum is σ = 913807319040. Its totient is φ = 54145843200.

The previous prime is 229248541421. The next prime is 229248541453. The reversal of 229248541440 is 44145842922.

229248541440 is a `hidden beast` number, since 2 + 2 + 92 + 4 + 85 + 41 + 440 = 666.

229248541440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 746737767 + ... + 746738073.

It is an arithmetic number, because the mean of its divisors is an integer number (793235520).

Almost surely, 2^229248541440 is an apocalyptic number.

229248541440 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 229248541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456903659520).

229248541440 is an abundant number, since it is smaller than the sum of its proper divisors (684558777600).

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

229248541440 is a wasteful number, since it uses less digits than its factorization.

229248541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 229248541440 in words is "two hundred twenty-nine billion, two hundred forty-eight million, five hundred forty-one thousand, four hundred forty".