4341936061440 has 352 divisors, whose sum is σ = 15470933852160. Its totient is φ = 1154812428288.

The previous prime is 4341936061423. The next prime is 4341936061501. The reversal of 4341936061440 is 441606391434.

4341936061440 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 93 + 60 + 61 + 440 = 666.

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 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, 52904917 + ... + 52986923.

Almost surely, 2^{4341936061440} is an apocalyptic number.

4341936061440 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 4341936061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735466926080).

4341936061440 is an abundant number, since it is smaller than the sum of its proper divisors (11128997790720).

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

4341936061440 is a wasteful number, since it uses less digits than its factorization.

4341936061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82424 (or 82400 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4341936061440 in words is "four trillion, three hundred forty-one billion, nine hundred thirty-six million, sixty-one thousand, four hundred forty".