404604144791040 has 640 divisors, whose sum is σ = 1361838034465920. Its totient is φ = 102328211865600.

The previous prime is 404604144790987. The next prime is 404604144791051. The reversal of 404604144791040 is 40197441406404.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10284521770 + ... + 10284561110.

It is an arithmetic number, because the mean of its divisors is an integer number (2127871928853).

Almost surely, 2^{404604144791040} is an apocalyptic number.

404604144791040 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 404604144791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680919017232960).

404604144791040 is an abundant number, since it is smaller than the sum of its proper divisors (957233889674880).

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

404604144791040 is a wasteful number, since it uses less digits than its factorization.

404604144791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40214 (or 40198 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 404604144791040 in words is "four hundred four trillion, six hundred four billion, one hundred forty-four million, seven hundred ninety-one thousand, forty".