1353662440900 has 243 divisors, whose sum is σ = 3758397201741. Its totient is φ = 421641528000.

The previous prime is 1353662440861. The next prime is 1353662440909. The reversal of 1353662440900 is 90442663531.

The square root of 1353662440900 is 1163470.

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., 487318478724 + 866343962176 = 698082^2 + 930776^2 .

It is not an unprimeable number, because it can be changed into a prime (1353662440909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 895871145 + ... + 895872655.

Almost surely, 2^{1353662440900} is an apocalyptic number.

1353662440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353662440900 is the 1163470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353662440900

1353662440900 is an abundant number, since it is smaller than the sum of its proper divisors (2404734760841).

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

1353662440900 is a wasteful number, since it uses less digits than its factorization.

1353662440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 1353662440900 in words is "one trillion, three hundred fifty-three billion, six hundred sixty-two million, four hundred forty thousand, nine hundred".