1041025905920 has 1152 divisors, whose sum is σ = 3489082490880. Its totient is φ = 287191203840.

The previous prime is 1041025905893. The next prime is 1041025905937. The reversal of 1041025905920 is 295095201401.

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 127 ways as a sum of consecutive naturals, for example, 3552989294 + ... + 3552989586.

It is an arithmetic number, because the mean of its divisors is an integer number (3028717440).

Almost surely, 2^{1041025905920} is an apocalyptic number.

1041025905920 is a gapful number since it is divisible by the number (10) 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 1041025905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744541245440).

1041025905920 is an abundant number, since it is smaller than the sum of its proper divisors (2448056584960).

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

1041025905920 is a wasteful number, since it uses less digits than its factorization.

1041025905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 1041025905920 in words is "one trillion, forty-one billion, twenty-five million, nine hundred five thousand, nine hundred twenty".