140400381600 has 216 divisors, whose sum is σ = 503204597532. Its totient is φ = 36826214400.

The previous prime is 140400381599. The next prime is 140400381613. The reversal of 140400381600 is 6183004041.

140400381600 is a `hidden beast` number, since 14 + 0 + 40 + 0 + 3 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50349974544 + 90050407056 = 224388^2 + 300084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279364 + ... + 599036.

Almost surely, 2^140400381600 is an apocalyptic number.

140400381600 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 140400381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251602298766).

140400381600 is an abundant number, since it is smaller than the sum of its proper divisors (362804215932).

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

140400381600 is a wasteful number, since it uses less digits than its factorization.

140400381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319760 (or 319744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140400381600 its reverse (6183004041), we get a palindrome (146583385641).

The spelling of 140400381600 in words is "one hundred forty billion, four hundred million, three hundred eighty-one thousand, six hundred".