140309006400 has 504 divisors, whose sum is σ = 517937389320. Its totient is φ = 35982213120.

The previous prime is 140309006351. The next prime is 140309006437. The reversal of 140309006400 is 4600903041.

140309006400 is a `hidden beast` number, since 14 + 0 + 3 + 0 + 9 + 0 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25518145536 + 114790860864 = 159744^2 + 338808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140730702 + ... + 140731698.

Almost surely, 2^140309006400 is an apocalyptic number.

140309006400 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 140309006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258968694660).

140309006400 is an abundant number, since it is smaller than the sum of its proper divisors (377628382920).

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

140309006400 is a wasteful number, since it uses less digits than its factorization.

140309006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 140309006400 its reverse (4600903041), we get a palindrome (144909909441).

The spelling of 140309006400 in words is "one hundred forty billion, three hundred nine million, six thousand, four hundred".