140318400 has 336 divisors, whose sum is σ = 507967488. Its totient is φ = 33792000.

The previous prime is 140318383. The next prime is 140318407. The reversal of 140318400 is 4813041.

It is not an unprimeable number, because it can be changed into a prime (140318407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3422380 + ... + 3422420.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^140318400 is an apocalyptic number.

140318400 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 140318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983744).

140318400 is an abundant number, since it is smaller than the sum of its proper divisors (367649088).

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

140318400 is a wasteful number, since it uses less digits than its factorization.

140318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 140318400 is about 11845.6067805748. The cubic root of 140318400 is about 519.6427526498.

The spelling of 140318400 in words is "one hundred forty million, three hundred eighteen thousand, four hundred".