6450866101440 has 168 divisors, whose sum is σ = 23010080380560. Its totient is φ = 1720230939648.

The previous prime is 6450866101429. The next prime is 6450866101523. The reversal of 6450866101440 is 441016680546.

6450866101440 is a `hidden beast` number, since 6 + 45 + 0 + 8 + 66 + 101 + 440 = 666.

It is a super-2 number, since 2×6450866101440² (a number of 26 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41401575 + ... + 41557094.

It is an arithmetic number, because the mean of its divisors is an integer number (136964764170).

Almost surely, 2^{6450866101440} is an apocalyptic number.

6450866101440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6450866101440 is an abundant number, since it is smaller than the sum of its proper divisors (16559214279120).

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

6450866101440 is an equidigital number, since it uses as much as digits as its factorization.

6450866101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82958701 (or 82958679 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6450866101440 in words is "six trillion, four hundred fifty billion, eight hundred sixty-six million, one hundred one thousand, four hundred forty".