1040875906560 has 960 divisors, whose sum is σ = 4041204203520. Its totient is φ = 227598336000.

The previous prime is 1040875906549. The next prime is 1040875906561. The reversal of 1040875906560 is 656095780401.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040875906561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385986185 + ... + 1385986935.

It is an arithmetic number, because the mean of its divisors is an integer number (4209587712).

Almost surely, 2^{1040875906560} is an apocalyptic number.

1040875906560 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 1040875906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020602101760).

1040875906560 is an abundant number, since it is smaller than the sum of its proper divisors (3000328296960).

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

1040875906560 is a wasteful number, since it uses less digits than its factorization.

1040875906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1040875906560 in words is "one trillion, forty billion, eight hundred seventy-five million, nine hundred six thousand, five hundred sixty".