4505251455040 has 224 divisors, whose sum is σ = 12334520968704. Its totient is φ = 1535384125440.

The previous prime is 4505251454983. The next prime is 4505251455053. The reversal of 4505251455040 is 405541525054.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×4505251455040³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4505251454984 and 4505251455002.

It is an unprimeable number.

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, 300683389 + ... + 300698371.

Almost surely, 2^{4505251455040} is an apocalyptic number.

4505251455040 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 4505251455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167260484352).

4505251455040 is an abundant number, since it is smaller than the sum of its proper divisors (7829269513664).

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

4505251455040 is a wasteful number, since it uses less digits than its factorization.

4505251455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15805 (or 15795 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

The spelling of 4505251455040 in words is "four trillion, five hundred five billion, two hundred fifty-one million, four hundred fifty-five thousand, forty".