1061464641600 has 336 divisors, whose sum is σ = 3814887992256. Its totient is φ = 256253952000.

The previous prime is 1061464641583. The next prime is 1061464641641. The reversal of 1061464641600 is 61464641601.

It is a super-2 number, since 2×1061464641600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12683092 + ... + 12766508.

Almost surely, 2^{1061464641600} is an apocalyptic number.

1061464641600 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 1061464641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907443996128).

1061464641600 is an abundant number, since it is smaller than the sum of its proper divisors (2753423350656).

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

1061464641600 is a wasteful number, since it uses less digits than its factorization.

1061464641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83694 (or 83679 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

Subtracting from 1061464641600 its reverse (61464641601), we obtain a palindrome (999999999999).

The spelling of 1061464641600 in words is "one trillion, sixty-one billion, four hundred sixty-four million, six hundred forty-one thousand, six hundred".