441799497073440 has 576 divisors, whose sum is σ = 1664832505190400. Its totient is φ = 105794209382400.

The previous prime is 441799497073439. The next prime is 441799497073457. The reversal of 441799497073440 is 44370794997144.

441799497073440 is a `hidden beast` number, since 4 + 4 + 1 + 7 + 9 + 9 + 49 + 70 + 73 + 440 = 666.

It is a super-2 number, since 2×441799497073440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1422292545 + ... + 1422603135.

It is an arithmetic number, because the mean of its divisors is an integer number (2890334210400).

Almost surely, 2^{441799497073440} is an apocalyptic number.

441799497073440 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 441799497073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832416252595200).

441799497073440 is an abundant number, since it is smaller than the sum of its proper divisors (1223033008116960).

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

441799497073440 is a wasteful number, since it uses less digits than its factorization.

441799497073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311721 (or 311710 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 441799497073440 in words is "four hundred forty-one trillion, seven hundred ninety-nine billion, four hundred ninety-seven million, seventy-three thousand, four hundred forty".