146416003140000 has 960 divisors, whose sum is σ = 549015922667520. Its totient is φ = 33808642560000.

The previous prime is 146416003139981. The next prime is 146416003140107. The reversal of 146416003140000 is 41300614641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 146416003140000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3627999822 + ... + 3628040178.

It is an arithmetic number, because the mean of its divisors is an integer number (571891586112).

Almost surely, 2^{146416003140000} is an apocalyptic number.

146416003140000 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 146416003140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274507961333760).

146416003140000 is an abundant number, since it is smaller than the sum of its proper divisors (402599919527520).

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

146416003140000 is a wasteful number, since it uses less digits than its factorization.

146416003140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40663 (or 40640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 146416003140000 its reverse (41300614641), we get a palindrome (146457303754641).

The spelling of 146416003140000 in words is "one hundred forty-six trillion, four hundred sixteen billion, three million, one hundred forty thousand".