1002012414000 has 640 divisors, whose sum is σ = 3534343787520. Its totient is φ = 242758656000.

The previous prime is 1002012413999. The next prime is 1002012414001. The reversal of 1002012414000 is 4142102001.

It is an interprime number because it is at equal distance from previous prime (1002012413999) and next prime (1002012414001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1002012414001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1761005716 + ... + 1761006284.

It is an arithmetic number, because the mean of its divisors is an integer number (5522412168).

Almost surely, 2^{1002012414000} is an apocalyptic number.

1002012414000 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 1002012414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767171893760).

1002012414000 is an abundant number, since it is smaller than the sum of its proper divisors (2532331373520).

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

1002012414000 is a wasteful number, since it uses less digits than its factorization.

1002012414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002012414000 its reverse (4142102001), we get a palindrome (1006154516001).

The spelling of 1002012414000 in words is "one trillion, two billion, twelve million, four hundred fourteen thousand".