441473034240 has 576 divisors, whose sum is σ = 1825566724800. Its totient is φ = 100905025536.

The previous prime is 441473034239. The next prime is 441473034263. The reversal of 441473034240 is 42430374144.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×441473034240² (a number of 24 digits) contains 22 as substring.

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 = 441473034195 and 441473034204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13531227 + ... + 13563813.

It is an arithmetic number, because the mean of its divisors is an integer number (3169386675).

Almost surely, 2^441473034240 is an apocalyptic number.

441473034240 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 441473034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912783362400).

441473034240 is an abundant number, since it is smaller than the sum of its proper divisors (1384093690560).

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

441473034240 is a wasteful number, since it uses less digits than its factorization.

441473034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32637 (or 32604 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 441473034240 in words is "four hundred forty-one billion, four hundred seventy-three million, thirty-four thousand, two hundred forty".