1040384778336 has 576 divisors, whose sum is σ = 3409133313600. Its totient is φ = 307242270720.

The previous prime is 1040384778299. The next prime is 1040384778341. The reversal of 1040384778336 is 6338774830401.

1040384778336 is a `hidden beast` number, since 10 + 403 + 84 + 77 + 83 + 3 + 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 716024586 + ... + 716026038.

It is an arithmetic number, because the mean of its divisors is an integer number (5918634225).

Almost surely, 2^{1040384778336} is an apocalyptic number.

1040384778336 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 1040384778336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704566656800).

1040384778336 is an abundant number, since it is smaller than the sum of its proper divisors (2368748535264).

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

1040384778336 is a wasteful number, since it uses less digits than its factorization.

1040384778336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1040384778336 in words is "one trillion, forty billion, three hundred eighty-four million, seven hundred seventy-eight thousand, three hundred thirty-six".