1101004866720 has 576 divisors, whose sum is σ = 4379775079680. Its totient is φ = 248898355200.

The previous prime is 1101004866719. The next prime is 1101004866727. The reversal of 1101004866720 is 276684001011.

It is a happy number.

1101004866720 is a `hidden beast` number, since 1 + 1 + 0 + 100 + 486 + 6 + 72 + 0 = 666.

It is a super-2 number, since 2×1101004866720² (a number of 25 digits) contains 22 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 (1101004866727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29332765 + ... + 29370275.

It is an arithmetic number, because the mean of its divisors is an integer number (7603776180).

Almost surely, 2^{1101004866720} is an apocalyptic number.

1101004866720 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 1101004866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189887539840).

1101004866720 is an abundant number, since it is smaller than the sum of its proper divisors (3278770212960).

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

1101004866720 is a wasteful number, since it uses less digits than its factorization.

1101004866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37669 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1101004866720 its reverse (276684001011), we get a palindrome (1377688867731).

The spelling of 1101004866720 in words is "one trillion, one hundred one billion, four million, eight hundred sixty-six thousand, seven hundred twenty".