1040954953984 has 405 divisors, whose sum is σ = 2508818556405. Its totient is φ = 430962892800.

The previous prime is 1040954953981. The next prime is 1040954953999. The reversal of 1040954953984 is 4893594590401.

The square root of 1040954953984 is 1020272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 810432057600 + 230522896384 = 900240^2 + 480128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1040954953981) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33579192049 + ... + 33579192079.

Almost surely, 2^{1040954953984} is an apocalyptic number.

1040954953984 is the 1020272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040954953984

1040954953984 is an abundant number, since it is smaller than the sum of its proper divisors (1467863602421).

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

1040954953984 is an frugal number, since it uses more digits than its factorization.

1040954953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 1040954953984 in words is "one trillion, forty billion, nine hundred fifty-four million, nine hundred fifty-three thousand, nine hundred eighty-four".