4123674314240 has 160 divisors (see below), whose sum is σ = 10653130968480. Its totient is φ = 1521811390464.

The previous prime is 4123674314209. The next prime is 4123674314299. The reversal of 4123674314240 is 424134763214.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67427996 + ... + 67489124.

It is an arithmetic number, because the mean of its divisors is an integer number (66582068553).

Almost surely, 2^{4123674314240} is an apocalyptic number.

4123674314240 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 4123674314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326565484240).

4123674314240 is an abundant number, since it is smaller than the sum of its proper divisors (6529456654240).

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

4123674314240 is a wasteful number, since it uses less digits than its factorization.

4123674314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63192 (or 63176 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 4123674314240 in words is "four trillion, one hundred twenty-three billion, six hundred seventy-four million, three hundred fourteen thousand, two hundred forty".