4454260463040 has 224 divisors, whose sum is σ = 14562468126720. Its totient is φ = 1152678998016.

The previous prime is 4454260463027. The next prime is 4454260463057. The reversal of 4454260463040 is 403640624544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4454260462983 and 4454260463001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13440451 + ... + 13767869.

Almost surely, 2^{4454260463040} is an apocalyptic number.

4454260463040 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 4454260463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281234063360).

4454260463040 is an abundant number, since it is smaller than the sum of its proper divisors (10108207663680).

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

4454260463040 is a wasteful number, since it uses less digits than its factorization.

4454260463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327859 (or 327849 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 4454260463040 in words is "four trillion, four hundred fifty-four billion, two hundred sixty million, four hundred sixty-three thousand, forty".