4426272406080 has 1344 divisors, whose sum is σ = 18668419660800. Its totient is φ = 983921541120.

The previous prime is 4426272405991. The next prime is 4426272406081. The reversal of 4426272406080 is 806042726244.

4426272406080 is a `hidden beast` number, since 4 + 42 + 62 + 72 + 406 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4426272406081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3601522906 + ... + 3601524134.

It is an arithmetic number, because the mean of its divisors is an integer number (13890193200).

Almost surely, 2^{4426272406080} is an apocalyptic number.

4426272406080 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 4426272406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334209830400).

4426272406080 is an abundant number, since it is smaller than the sum of its proper divisors (14242147254720).

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

4426272406080 is a wasteful number, since it uses less digits than its factorization.

4426272406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4426272406080 in words is "four trillion, four hundred twenty-six billion, two hundred seventy-two million, four hundred six thousand, eighty".