1474441053408 has 288 divisors, whose sum is σ = 4386311879040. Its totient is φ = 487195015680.

The previous prime is 1474441053391. The next prime is 1474441053431. The reversal of 1474441053408 is 8043501444741.

1474441053408 is a `hidden beast` number, since 1 + 4 + 74 + 4 + 41 + 0 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488385723 + ... + 488388741.

It is an arithmetic number, because the mean of its divisors is an integer number (15230249580).

Almost surely, 2^{1474441053408} is an apocalyptic number.

1474441053408 is a gapful number since it is divisible by the number (18) 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 1474441053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193155939520).

1474441053408 is an abundant number, since it is smaller than the sum of its proper divisors (2911870825632).

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

1474441053408 is a wasteful number, since it uses less digits than its factorization.

1474441053408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1474441053408 in words is "one trillion, four hundred seventy-four billion, four hundred forty-one million, fifty-three thousand, four hundred eight".