3318719040000 has 3600 divisors, whose sum is σ = 15781193876448. Its totient is φ = 689762304000.

The previous prime is 3318719039963. The next prime is 3318719040017. The reversal of 3318719040000 is 409178133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×3318719040000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 49533119967 + ... + 49533120033.

Almost surely, 2^{3318719040000} is an apocalyptic number.

3318719040000 is a gapful number since it is divisible by the number (30) 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 3318719040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890596938224).

3318719040000 is an abundant number, since it is smaller than the sum of its proper divisors (12462474836448).

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

3318719040000 is an frugal number, since it uses more digits than its factorization.

3318719040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 3318719040000 in words is "three trillion, three hundred eighteen billion, seven hundred nineteen million, forty thousand".