1102742726400 has 2592 divisors, whose sum is σ = 5117702446080. Its totient is φ = 230756843520.

The previous prime is 1102742726387. The next prime is 1102742726401. The reversal of 1102742726400 is 46272472011.

1102742726400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 7 + 4 + 2 + 7 + 2 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102742726401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6765292719 + ... + 6765292881.

It is an arithmetic number, because the mean of its divisors is an integer number (1974422240).

Almost surely, 2^{1102742726400} is an apocalyptic number.

1102742726400 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 1102742726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558851223040).

1102742726400 is an abundant number, since it is smaller than the sum of its proper divisors (4014959719680).

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

1102742726400 is a wasteful number, since it uses less digits than its factorization.

1102742726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1102742726400 in words is "one trillion, one hundred two billion, seven hundred forty-two million, seven hundred twenty-six thousand, four hundred".