1063440742400 has 72 divisors (see below), whose sum is σ = 2636689287960. Its totient is φ = 425376276480.

The previous prime is 1063440742393. The next prime is 1063440742409. The reversal of 1063440742400 is 42470443601.

It is a super-2 number, since 2×1063440742400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) 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 (1063440742409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10333964 + ... + 10436363.

It is an arithmetic number, because the mean of its divisors is an integer number (36620684555).

Almost surely, 2^{1063440742400} is an apocalyptic number.

1063440742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1063440742400 is an abundant number, since it is smaller than the sum of its proper divisors (1573248545560).

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

1063440742400 is an equidigital number, since it uses as much as digits as its factorization.

1063440742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770359 (or 20770334 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 1063440742400 in words is "one trillion, sixty-three billion, four hundred forty million, seven hundred forty-two thousand, four hundred".