1039654385406 has 320 divisors, whose sum is σ = 3045843440640. Its totient is φ = 257216394240.

The previous prime is 1039654385303. The next prime is 1039654385449. The reversal of 1039654385406 is 6045834569301.

1039654385406 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 65 + 4 + 38 + 540 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 77934285 + ... + 77947623.

It is an arithmetic number, because the mean of its divisors is an integer number (9518260752).

Almost surely, 2^{1039654385406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039654385406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522921720320).

1039654385406 is an abundant number, since it is smaller than the sum of its proper divisors (2006189055234).

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

1039654385406 is a wasteful number, since it uses less digits than its factorization.

1039654385406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1039654385406 in words is "one trillion, thirty-nine billion, six hundred fifty-four million, three hundred eighty-five thousand, four hundred six".