244134051840 has 1008 divisors, whose sum is σ = 1017727206048. Its totient is φ = 55037657088.

The previous prime is 244134051731. The next prime is 244134051869. The reversal of 244134051840 is 48150431442.

244134051840 is a `hidden beast` number, since 2 + 4 + 4 + 134 + 0 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 244134051795 and 244134051804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344302044 + ... + 3344302116.

It is an arithmetic number, because the mean of its divisors is an integer number (1009650006).

Almost surely, 2^244134051840 is an apocalyptic number.

244134051840 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 244134051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508863603024).

244134051840 is an abundant number, since it is smaller than the sum of its proper divisors (773593154208).

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

244134051840 is an frugal number, since it uses more digits than its factorization.

244134051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 244134051840 in words is "two hundred forty-four billion, one hundred thirty-four million, fifty-one thousand, eight hundred forty".