10953310717440 has 3200 divisors, whose sum is σ = 51426548490240. Its totient is φ = 2163667894272.

The previous prime is 10953310717409. The next prime is 10953310717451. The reversal of 10953310717440 is 4471701335901.

10953310717440 is a `hidden beast` number, since 1 + 0 + 9 + 533 + 1 + 0 + 7 + 1 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 49117985169 + ... + 49117985391.

Almost surely, 2^{10953310717440} is an apocalyptic number.

10953310717440 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 10953310717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713274245120).

10953310717440 is an abundant number, since it is smaller than the sum of its proper divisors (40473237772800).

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

10953310717440 is a wasteful number, since it uses less digits than its factorization.

10953310717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10953310717440 in words is "ten trillion, nine hundred fifty-three billion, three hundred ten million, seven hundred seventeen thousand, four hundred forty".