4377426493440 has 3072 divisors, whose sum is σ = 20242677288960. Its totient is φ = 792723456000.

The previous prime is 4377426493367. The next prime is 4377426493469. The reversal of 4377426493440 is 443946247734.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106766499820 + ... + 106766499860.

It is an arithmetic number, because the mean of its divisors is an integer number (6589413180).

Almost surely, 2^{4377426493440} is an apocalyptic number.

4377426493440 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 4377426493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121338644480).

4377426493440 is an abundant number, since it is smaller than the sum of its proper divisors (15865250795520).

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

4377426493440 is a wasteful number, since it uses less digits than its factorization.

4377426493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 57.

The spelling of 4377426493440 in words is "four trillion, three hundred seventy-seven billion, four hundred twenty-six million, four hundred ninety-three thousand, four hundred forty".