439948368000 has 1024 divisors, whose sum is σ = 1692145728000. Its totient is φ = 112250880000.

The previous prime is 439948367993. The next prime is 439948368031. The reversal of 439948368000 is 863849934.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1045007790 + ... + 1045008210.

Almost surely, 2^439948368000 is an apocalyptic number.

439948368000 is a gapful number since it is divisible by the number (40) 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 439948368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846072864000).

439948368000 is an abundant number, since it is smaller than the sum of its proper divisors (1252197360000).

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

439948368000 is a wasteful number, since it uses less digits than its factorization.

439948368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 439948368000 in words is "four hundred thirty-nine billion, nine hundred forty-eight million, three hundred sixty-eight thousand".