439846738007040 has 7128 divisors, whose sum is σ = 2111770331094528. Its totient is φ = 84256346603520.

The previous prime is 439846738007029. The next prime is 439846738007051. The reversal of 439846738007040 is 40700837648934.

It is a happy number.

439846738007040 is a `hidden beast` number, since 4 + 3 + 98 + 4 + 67 + 380 + 0 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (439846738007029) and next prime (439846738007051).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 4270356679629 + ... + 4270356679731.

Almost surely, 2^{439846738007040} is an apocalyptic number.

439846738007040 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 439846738007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055885165547264).

439846738007040 is an abundant number, since it is smaller than the sum of its proper divisors (1671923593087488).

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

439846738007040 is a wasteful number, since it uses less digits than its factorization.

439846738007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 439846738007040 in words is "four hundred thirty-nine trillion, eight hundred forty-six billion, seven hundred thirty-eight million, seven thousand, forty".