439950126672 has 640 divisors, whose sum is σ = 1576099123200. Its totient is φ = 114649841664.

The previous prime is 439950126617. The next prime is 439950126673. The reversal of 439950126672 is 276621059934.

439950126672 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 501 + 2 + 66 + 72 = 666.

It is a super-4 number, since 4×439950126672⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (439950126673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221413263 + ... + 221415249.

It is an arithmetic number, because the mean of its divisors is an integer number (2462654880).

Almost surely, 2^439950126672 is an apocalyptic number.

439950126672 is a gapful number since it is divisible by the number (42) 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 439950126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788049561600).

439950126672 is an abundant number, since it is smaller than the sum of its proper divisors (1136148996528).

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

439950126672 is a wasteful number, since it uses less digits than its factorization.

439950126672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 439950126672 in words is "four hundred thirty-nine billion, nine hundred fifty million, one hundred twenty-six thousand, six hundred seventy-two".