404896141440 has 1152 divisors, whose sum is σ = 1680895307520. Its totient is φ = 89501368320.

The previous prime is 404896141439. The next prime is 404896141499. The reversal of 404896141440 is 44141698404.

It is a happy number.

404896141440 is a `hidden beast` number, since 40 + 48 + 96 + 1 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1737751564 + ... + 1737751796.

It is an arithmetic number, because the mean of its divisors is an integer number (1459110510).

Almost surely, 2^404896141440 is an apocalyptic number.

404896141440 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 404896141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840447653760).

404896141440 is an abundant number, since it is smaller than the sum of its proper divisors (1275999166080).

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

404896141440 is a wasteful number, since it uses less digits than its factorization.

404896141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 404896141440 in words is "four hundred four billion, eight hundred ninety-six million, one hundred forty-one thousand, four hundred forty".