404148772440 has 192 divisors, whose sum is σ = 1501642172160. Its totient is φ = 92344976640.

The previous prime is 404148772439. The next prime is 404148772459. The reversal of 404148772440 is 44277841404.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7702695 + ... + 7754985.

It is an arithmetic number, because the mean of its divisors is an integer number (7821052980).

Almost surely, 2^404148772440 is an apocalyptic number.

404148772440 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 404148772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750821086080).

404148772440 is an abundant number, since it is smaller than the sum of its proper divisors (1097493399720).

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

404148772440 is a wasteful number, since it uses less digits than its factorization.

404148772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55382 (or 55375 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 404148772440 in words is "four hundred four billion, one hundred forty-eight million, seven hundred seventy-two thousand, four hundred forty".