1450086368040 has 640 divisors, whose sum is σ = 5513556470400. Its totient is φ = 339625820160.

The previous prime is 1450086367991. The next prime is 1450086368041. The reversal of 1450086368040 is 408636800541.

1450086368040 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 8 + 636 + 8 + 0 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1450086368041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70106500 + ... + 70127180.

It is an arithmetic number, because the mean of its divisors is an integer number (8614931985).

Almost surely, 2^{1450086368040} is an apocalyptic number.

1450086368040 is a gapful number since it is divisible by the number (10) 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 1450086368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756778235200).

1450086368040 is an abundant number, since it is smaller than the sum of its proper divisors (4063470102360).

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

1450086368040 is a wasteful number, since it uses less digits than its factorization.

1450086368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807 (or 20794 counting only the distinct ones).

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

The spelling of 1450086368040 in words is "one trillion, four hundred fifty billion, eighty-six million, three hundred sixty-eight thousand, forty".