404265173561040 has 1920 divisors, whose sum is σ = 1523588180115456. Its totient is φ = 88223883264000.

The previous prime is 404265173560979. The next prime is 404265173561099. The reversal of 404265173561040 is 40165371562404.

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 383 ways as a sum of consecutive naturals, for example, 284093585769 + ... + 284093587191.

Almost surely, 2^{404265173561040} is an apocalyptic number.

404265173561040 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 404265173561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761794090057728).

404265173561040 is an abundant number, since it is smaller than the sum of its proper divisors (1119323006554416).

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

404265173561040 is a wasteful number, since it uses less digits than its factorization.

404265173561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 404265173561040 in words is "four hundred four trillion, two hundred sixty-five billion, one hundred seventy-three million, five hundred sixty-one thousand, forty".