4419268114140 has 768 divisors, whose sum is σ = 16052649984000. Its totient is φ = 998766720000.

The previous prime is 4419268114133. The next prime is 4419268114189. The reversal of 4419268114140 is 414118629144.

4419268114140 is a `hidden beast` number, since 4 + 419 + 2 + 6 + 81 + 14 + 140 = 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 255 ways as a sum of consecutive naturals, for example, 3839502565 + ... + 3839503715.

It is an arithmetic number, because the mean of its divisors is an integer number (20901888000).

Almost surely, 2^{4419268114140} 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 4419268114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026324992000).

4419268114140 is an abundant number, since it is smaller than the sum of its proper divisors (11633381869860).

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

4419268114140 is a wasteful number, since it uses less digits than its factorization.

4419268114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 4419268114140 in words is "four trillion, four hundred nineteen billion, two hundred sixty-eight million, one hundred fourteen thousand, one hundred forty".