1484006940000 has 960 divisors, whose sum is σ = 5925143347200. Its totient is φ = 359002368000.

The previous prime is 1484006939993. The next prime is 1484006940001. The reversal of 1484006940000 is 496004841.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484006940001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 414178209 + ... + 414181791.

It is an arithmetic number, because the mean of its divisors is an integer number (6172024320).

Almost surely, 2^{1484006940000} is an apocalyptic number.

1484006940000 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 1484006940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962571673600).

1484006940000 is an abundant number, since it is smaller than the sum of its proper divisors (4441136407200).

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

1484006940000 is a wasteful number, since it uses less digits than its factorization.

1484006940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1484006940000 in words is "one trillion, four hundred eighty-four billion, six million, nine hundred forty thousand".