404434720360 has 128 divisors (see below), whose sum is σ = 1039936320000. Its totient is φ = 140198123520.

The previous prime is 404434720307. The next prime is 404434720367. The reversal of 404434720360 is 63027434404.

It is not an unprimeable number, because it can be changed into a prime (404434720367) 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, 807436 + ... + 1208644.

It is an arithmetic number, because the mean of its divisors is an integer number (8124502500).

Almost surely, 2^404434720360 is an apocalyptic number.

404434720360 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 404434720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519968160000).

404434720360 is an abundant number, since it is smaller than the sum of its proper divisors (635501599640).

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

404434720360 is a wasteful number, since it uses less digits than its factorization.

404434720360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401339 (or 401335 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 404434720360 in words is "four hundred four billion, four hundred thirty-four million, seven hundred twenty thousand, three hundred sixty".