1106721743400 has 1920 divisors, whose sum is σ = 4976008181760. Its totient is φ = 221709312000.

The previous prime is 1106721743399. The next prime is 1106721743423. The reversal of 1106721743400 is 43471276011.

1106721743400 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 7 + 217 + 434 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2787712002 + ... + 2787712398.

It is an arithmetic number, because the mean of its divisors is an integer number (2591670928).

Almost surely, 2^{1106721743400} is an apocalyptic number.

1106721743400 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 1106721743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488004090880).

1106721743400 is an abundant number, since it is smaller than the sum of its proper divisors (3869286438360).

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

1106721743400 is a wasteful number, since it uses less digits than its factorization.

1106721743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1106721743400 in words is "one trillion, one hundred six billion, seven hundred twenty-one million, seven hundred forty-three thousand, four hundred".