1026682243200 has 288 divisors, whose sum is σ = 3822719883840. Its totient is φ = 261878200320.

The previous prime is 1026682243151. The next prime is 1026682243201. The reversal of 1026682243200 is 23422866201.

1026682243200 is a `hidden beast` number, since 102 + 6 + 6 + 8 + 224 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×1026682243200⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1026682243201) 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 35 ways as a sum of consecutive naturals, for example, 112572 + ... + 1437371.

It is an arithmetic number, because the mean of its divisors is an integer number (13273332930).

Almost surely, 2^{1026682243200} is an apocalyptic number.

1026682243200 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 1026682243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911359941920).

1026682243200 is an abundant number, since it is smaller than the sum of its proper divisors (2796037640640).

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

1026682243200 is a wasteful number, since it uses less digits than its factorization.

1026682243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549996 (or 1549976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1026682243200 in words is "one trillion, twenty-six billion, six hundred eighty-two million, two hundred forty-three thousand, two hundred".