1040751360000 has 1440 divisors, whose sum is σ = 4214862812160. Its totient is φ = 245145600000.

The previous prime is 1040751359983. The next prime is 1040751360031. The reversal of 1040751360000 is 631570401.

1040751360000 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 51 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 5448959905 + ... + 5448960095.

It is an arithmetic number, because the mean of its divisors is an integer number (2926988064).

Almost surely, 2^{1040751360000} is an apocalyptic number.

1040751360000 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 1040751360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107431406080).

1040751360000 is an abundant number, since it is smaller than the sum of its proper divisors (3174111452160).

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

1040751360000 is a wasteful number, since it uses less digits than its factorization.

1040751360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1040751360000 in words is "one trillion, forty billion, seven hundred fifty-one million, three hundred sixty thousand".