441978290880 has 672 divisors, whose sum is σ = 1696156770240. Its totient is φ = 97108623360.

The previous prime is 441978290843. The next prime is 441978290927. The reversal of 441978290880 is 88092879144.

It is a happy number.

441978290880 is digitally balanced in base 4, 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383328384 + ... + 383329536.

Almost surely, 2^441978290880 is an apocalyptic number.

441978290880 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 441978290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848078385120).

441978290880 is an abundant number, since it is smaller than the sum of its proper divisors (1254178479360).

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

441978290880 is a wasteful number, since it uses less digits than its factorization.

441978290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 441978290880 in words is "four hundred forty-one billion, nine hundred seventy-eight million, two hundred ninety thousand, eight hundred eighty".