1016772723400 has 384 divisors, whose sum is σ = 2937411993600. Its totient is φ = 319372185600.

The previous prime is 1016772723311. The next prime is 1016772723431. The reversal of 1016772723400 is 43272776101.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 213650221 + ... + 213654979.

It is an arithmetic number, because the mean of its divisors is an integer number (7649510400).

Almost surely, 2^{1016772723400} is an apocalyptic number.

1016772723400 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 1016772723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468705996800).

1016772723400 is an abundant number, since it is smaller than the sum of its proper divisors (1920639270200).

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

1016772723400 is a wasteful number, since it uses less digits than its factorization.

1016772723400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 1016772723400 in words is "one trillion, sixteen billion, seven hundred seventy-two million, seven hundred twenty-three thousand, four hundred".