4506578097840 has 1120 divisors, whose sum is σ = 19390309524096. Its totient is φ = 948109639680.

The previous prime is 4506578097797. The next prime is 4506578097851. The reversal of 4506578097840 is 487908756054.

4506578097840 is a `hidden beast` number, since 4 + 50 + 6 + 578 + 0 + 9 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×4506578097840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2234296512 + ... + 2234298528.

Almost surely, 2^{4506578097840} is an apocalyptic number.

4506578097840 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 4506578097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695154762048).

4506578097840 is an abundant number, since it is smaller than the sum of its proper divisors (14883731426256).

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

4506578097840 is a wasteful number, since it uses less digits than its factorization.

4506578097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 4506578097840 in words is "four trillion, five hundred six billion, five hundred seventy-eight million, ninety-seven thousand, eight hundred forty".