440069990880 has 192 divisors, whose sum is σ = 1494449284608. Its totient is φ = 108209080320.

The previous prime is 440069990863. The next prime is 440069990881. The reversal of 440069990880 is 88099960044.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 440069990880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440069990881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5872045 + ... + 5946515.

It is an arithmetic number, because the mean of its divisors is an integer number (7783590024).

Almost surely, 2^440069990880 is an apocalyptic number.

440069990880 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 440069990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747224642304).

440069990880 is an abundant number, since it is smaller than the sum of its proper divisors (1054379293728).

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

440069990880 is a wasteful number, since it uses less digits than its factorization.

440069990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75449 (or 75441 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 440069990880 in words is "four hundred forty billion, sixty-nine million, nine hundred ninety thousand, eight hundred eighty".