404142265105920 has 800 divisors, whose sum is σ = 1585602240140160. Its totient is φ = 97973748080640.

The previous prime is 404142265105907. The next prime is 404142265106057. The reversal of 404142265105920 is 29501562241404.

404142265105920 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 4 + 2 + 2 + 6 + 51 + 0 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 553908711 + ... + 554637849.

Almost surely, 2^{404142265105920} is an apocalyptic number.

404142265105920 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 404142265105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792801120070080).

404142265105920 is an abundant number, since it is smaller than the sum of its proper divisors (1181459975034240).

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

404142265105920 is an frugal number, since it uses more digits than its factorization.

404142265105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729200 (or 729160 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 404142265105920 in words is "four hundred four trillion, one hundred forty-two billion, two hundred sixty-five million, one hundred five thousand, nine hundred twenty".