3914456345280 has 896 divisors, whose sum is σ = 15468156211200. Its totient is φ = 925571432448.

The previous prime is 3914456345273. The next prime is 3914456345291. The reversal of 3914456345280 is 825436544193.

It is a happy number.

3914456345280 is a `hidden beast` number, since 3 + 9 + 14 + 4 + 5 + 6 + 345 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 328305399 + ... + 328317321.

It is an arithmetic number, because the mean of its divisors is an integer number (17263567200).

Almost surely, 2^{3914456345280} is an apocalyptic number.

3914456345280 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 3914456345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734078105600).

3914456345280 is an abundant number, since it is smaller than the sum of its proper divisors (11553699865920).

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

3914456345280 is a wasteful number, since it uses less digits than its factorization.

3914456345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3914456345280 in words is "three trillion, nine hundred fourteen billion, four hundred fifty-six million, three hundred forty-five thousand, two hundred eighty".