3373116415440 has 160 divisors (see below), whose sum is σ = 10555611897600. Its totient is φ = 890990530560.

The previous prime is 3373116415433. The next prime is 3373116415447. The reversal of 3373116415440 is 445146113733.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3373116415433) and next prime (3373116415447).

It is a super-2 number, since 2×3373116415440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3373116415392 and 3373116415401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373116415447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102295276 + ... + 102328244.

It is an arithmetic number, because the mean of its divisors is an integer number (65972574360).

Almost surely, 2^{3373116415440} is an apocalyptic number.

3373116415440 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 3373116415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277805948800).

3373116415440 is an abundant number, since it is smaller than the sum of its proper divisors (7182495482160).

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

3373116415440 is a wasteful number, since it uses less digits than its factorization.

3373116415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37005 (or 36999 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3373116415440 in words is "three trillion, three hundred seventy-three billion, one hundred sixteen million, four hundred fifteen thousand, four hundred forty".