140038217280 has 784 divisors, whose sum is σ = 547979187504. Its totient is φ = 33861058560.

The previous prime is 140038217279. The next prime is 140038217309. The reversal of 140038217280 is 82712830041.

140038217280 is a `hidden beast` number, since 1 + 400 + 3 + 8 + 2 + 172 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33234748416 + 106803468864 = 182304^2 + 326808^2 .

It is a super-2 number, since 2×140038217280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 184990662 + ... + 184991418.

Almost surely, 2^140038217280 is an apocalyptic number.

140038217280 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 140038217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273989593752).

140038217280 is an abundant number, since it is smaller than the sum of its proper divisors (407940970224).

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

140038217280 is an equidigital number, since it uses as much as digits as its factorization.

140038217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 140038217280 in words is "one hundred forty billion, thirty-eight million, two hundred seventeen thousand, two hundred eighty".