1016870400000 has 1872 divisors, whose sum is σ = 4565166435648. Its totient is φ = 212336640000.

The previous prime is 1016870399999. The next prime is 1016870400001. The reversal of 1016870400000 is 40786101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1016870399999) and next prime (1016870400001).

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016870400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10483199952 + ... + 10483200048.

It is an arithmetic number, because the mean of its divisors is an integer number (2438657284).

Almost surely, 2^{1016870400000} is an apocalyptic number.

1016870400000 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 1016870400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282583217824).

1016870400000 is an abundant number, since it is smaller than the sum of its proper divisors (3548296035648).

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

1016870400000 is an frugal number, since it uses more digits than its factorization.

1016870400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1016870400000 in words is "one trillion, sixteen billion, eight hundred seventy million, four hundred thousand".