4341399409440 has 768 divisors, whose sum is σ = 16598885990400. Its totient is φ = 1055719526400.

The previous prime is 4341399409411. The next prime is 4341399409463. The reversal of 4341399409440 is 449049931434.

4341399409440 is a `hidden beast` number, since 43 + 41 + 39 + 94 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×4341399409440² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 485991214 + ... + 486000146.

It is an arithmetic number, because the mean of its divisors is an integer number (21613132800).

Almost surely, 2^{4341399409440} is an apocalyptic number.

4341399409440 is a gapful number since it is divisible by the number (40) 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 4341399409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299442995200).

4341399409440 is an abundant number, since it is smaller than the sum of its proper divisors (12257486580960).

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

4341399409440 is a wasteful number, since it uses less digits than its factorization.

4341399409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4341399409440 in words is "four trillion, three hundred forty-one billion, three hundred ninety-nine million, four hundred nine thousand, four hundred forty".