3340239517440 has 576 divisors, whose sum is σ = 13610936478720. Its totient is φ = 759853301760.

The previous prime is 3340239517309. The next prime is 3340239517451. The reversal of 3340239517440 is 447159320433.

3340239517440 is a `hidden beast` number, since 3 + 3 + 402 + 39 + 5 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3340239517440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51012402 + ... + 51077838.

Almost surely, 2^{3340239517440} is an apocalyptic number.

3340239517440 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 3340239517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805468239360).

3340239517440 is an abundant number, since it is smaller than the sum of its proper divisors (10270696961280).

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

3340239517440 is a wasteful number, since it uses less digits than its factorization.

3340239517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65685 (or 65665 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3340239517440 in words is "three trillion, three hundred forty billion, two hundred thirty-nine million, five hundred seventeen thousand, four hundred forty".