4334405446140 has 192 divisors, whose sum is σ = 15154412249088. Its totient is φ = 899263008000.

The previous prime is 4334405446139. The next prime is 4334405446141. The reversal of 4334405446140 is 416445044334.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4334405446139) and next prime (4334405446141).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4334405446092 and 4334405446101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334405446141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2264115 + ... + 3714165.

It is an arithmetic number, because the mean of its divisors is an integer number (78929230464).

Almost surely, 2^{4334405446140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334405446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577206124544).

4334405446140 is an abundant number, since it is smaller than the sum of its proper divisors (10820006802948).

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

4334405446140 is a wasteful number, since it uses less digits than its factorization.

4334405446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450728 (or 1450726 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 4334405446140 in words is "four trillion, three hundred thirty-four billion, four hundred five million, four hundred forty-six thousand, one hundred forty".