1038406574016 has 336 divisors, whose sum is σ = 3662760142080. Its totient is φ = 274501509120.

The previous prime is 1038406573991. The next prime is 1038406574069. The reversal of 1038406574016 is 6104756048301.

1038406574016 is a `hidden beast` number, since 1 + 0 + 38 + 40 + 6 + 574 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3915711 + ... + 4172481.

Almost surely, 2^{1038406574016} is an apocalyptic number.

1038406574016 is a gapful number since it is divisible by the number (16) 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 1038406574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831380071040).

1038406574016 is an abundant number, since it is smaller than the sum of its proper divisors (2624353568064).

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

1038406574016 is a wasteful number, since it uses less digits than its factorization.

1038406574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256872 (or 256859 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1038406574016 in words is "one trillion, thirty-eight billion, four hundred six million, five hundred seventy-four thousand, sixteen".