4454406498640 has 160 divisors (see below), whose sum is σ = 11975117900544. Its totient is φ = 1509329203200.

The previous prime is 4454406498631. The next prime is 4454406498649. The reversal of 4454406498640 is 468946044544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4454406498631) and next prime (4454406498649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454406498649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30866332 + ... + 31010308.

Almost surely, 2^{4454406498640} is an apocalyptic number.

4454406498640 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 4454406498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987558950272).

4454406498640 is an abundant number, since it is smaller than the sum of its proper divisors (7520711401904).

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

4454406498640 is a wasteful number, since it uses less digits than its factorization.

4454406498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144645 (or 144639 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 58.

The spelling of 4454406498640 in words is "four trillion, four hundred fifty-four billion, four hundred six million, four hundred ninety-eight thousand, six hundred forty".