441378020160 has 2240 divisors, whose sum is σ = 2071933839360. Its totient is φ = 86533816320.

The previous prime is 441378020137. The next prime is 441378020173. The reversal of 441378020160 is 61020873144.

441378020160 is a `hidden beast` number, since 4 + 413 + 7 + 80 + 2 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×441378020160² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3175381371 + ... + 3175381509.

It is an arithmetic number, because the mean of its divisors is an integer number (924970464).

Almost surely, 2^441378020160 is an apocalyptic number.

441378020160 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 441378020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035966919680).

441378020160 is an abundant number, since it is smaller than the sum of its proper divisors (1630555819200).

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

441378020160 is a wasteful number, since it uses less digits than its factorization.

441378020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 441378020160 in words is "four hundred forty-one billion, three hundred seventy-eight million, twenty thousand, one hundred sixty".