4406391114048 has 1512 divisors, whose sum is σ = 16962460010496. Its totient is φ = 1070281175040.

The previous prime is 4406391114043. The next prime is 4406391114053. The reversal of 4406391114048 is 8404111936044.

4406391114048 is a `hidden beast` number, since 4 + 4 + 0 + 639 + 1 + 1 + 1 + 4 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4406391114043) and next prime (4406391114053).

It is a super-2 number, since 2×4406391114048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4406391113994 and 4406391114012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406391114043) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 22367467486 + ... + 22367467682.

It is an arithmetic number, because the mean of its divisors is an integer number (11218558208).

Almost surely, 2^{4406391114048} is an apocalyptic number.

4406391114048 is a gapful number since it is divisible by the number (48) 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 4406391114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481230005248).

4406391114048 is an abundant number, since it is smaller than the sum of its proper divisors (12556068896448).

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

4406391114048 is a wasteful number, since it uses less digits than its factorization.

4406391114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4406391114048 in words is "four trillion, four hundred six billion, three hundred ninety-one million, one hundred fourteen thousand, forty-eight".