1016644772430 has 320 divisors, whose sum is σ = 3174446499840. Its totient is φ = 228656203776.

The previous prime is 1016644772413. The next prime is 1016644772503. The reversal of 1016644772430 is 342774466101.

1016644772430 is a `hidden beast` number, since 1 + 0 + 166 + 447 + 7 + 2 + 43 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 137510814 + ... + 137518206.

It is an arithmetic number, because the mean of its divisors is an integer number (9920145312).

Almost surely, 2^{1016644772430} is an apocalyptic number.

1016644772430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016644772430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587223249920).

1016644772430 is an abundant number, since it is smaller than the sum of its proper divisors (2157801727410).

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

1016644772430 is a wasteful number, since it uses less digits than its factorization.

1016644772430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1016644772430 in words is "one trillion, sixteen billion, six hundred forty-four million, seven hundred seventy-two thousand, four hundred thirty".