8450728142400 has 1344 divisors, whose sum is σ = 32108080665600. Its totient is φ = 2160914595840.

The previous prime is 8450728142383. The next prime is 8450728142459. The reversal of 8450728142400 is 42418270548.

8450728142400 is a `hidden beast` number, since 84 + 5 + 0 + 7 + 28 + 142 + 400 = 666.

It is a super-2 number, since 2×8450728142400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23026507017 + ... + 23026507383.

Almost surely, 2^{8450728142400} is an apocalyptic number.

8450728142400 is a gapful number since it is divisible by the number (80) 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 8450728142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054040332800).

8450728142400 is an abundant number, since it is smaller than the sum of its proper divisors (23657352523200).

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

8450728142400 is a wasteful number, since it uses less digits than its factorization.

8450728142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 8450728142400 in words is "eight trillion, four hundred fifty billion, seven hundred twenty-eight million, one hundred forty-two thousand, four hundred".