1016142260224 has 288 divisors, whose sum is σ = 2546709984000. Its totient is φ = 396827099136.

The previous prime is 1016142260209. The next prime is 1016142260239. The reversal of 1016142260224 is 4220622416101.

It is an interprime number because it is at equal distance from previous prime (1016142260209) and next prime (1016142260239).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191397282 + ... + 191402590.

It is an arithmetic number, because the mean of its divisors is an integer number (8842743000).

Almost surely, 2^{1016142260224} is an apocalyptic number.

1016142260224 is a gapful number since it is divisible by the number (14) 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 1016142260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273354992000).

1016142260224 is an abundant number, since it is smaller than the sum of its proper divisors (1530567723776).

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

1016142260224 is an equidigital number, since it uses as much as digits as its factorization.

1016142260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 1016142260224 its reverse (4220622416101), we get a palindrome (5236764676325).

The spelling of 1016142260224 in words is "one trillion, sixteen billion, one hundred forty-two million, two hundred sixty thousand, two hundred twenty-four".