11337242653440 has 864 divisors, whose sum is σ = 45119077436160. Its totient is φ = 2599420723200.

The previous prime is 11337242653427. The next prime is 11337242653487. The reversal of 11337242653440 is 4435624273311.

11337242653440 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 7 + 242 + 65 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1572211435 + ... + 1572218645.

It is an arithmetic number, because the mean of its divisors is an integer number (52221154440).

Almost surely, 2^{11337242653440} is an apocalyptic number.

11337242653440 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 11337242653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559538718080).

11337242653440 is an abundant number, since it is smaller than the sum of its proper divisors (33781834782720).

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

11337242653440 is a wasteful number, since it uses less digits than its factorization.

11337242653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 11337242653440 in words is "eleven trillion, three hundred thirty-seven billion, two hundred forty-two million, six hundred fifty-three thousand, four hundred forty".