1190008060416 has 1440 divisors, whose sum is σ = 4401258301440. Its totient is φ = 319548063744.

The previous prime is 1190008060357. The next prime is 1190008060421. The reversal of 1190008060416 is 6140608000911.

It is a happy number.

It is a super-2 number, since 2×1190008060416² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9370142145 + ... + 9370142271.

It is an arithmetic number, because the mean of its divisors is an integer number (3056429376).

Almost surely, 2^{1190008060416} is an apocalyptic number.

1190008060416 is a gapful number since it is divisible by the number (16) 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 1190008060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200629150720).

1190008060416 is an abundant number, since it is smaller than the sum of its proper divisors (3211250241024).

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

1190008060416 is an equidigital number, since it uses as much as digits as its factorization.

1190008060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1190008060416 in words is "one trillion, one hundred ninety billion, eight million, sixty thousand, four hundred sixteen".