140085518400 has 189 divisors, whose sum is σ = 498056692861. Its totient is φ = 37344161280.

The previous prime is 140085518371. The next prime is 140085518407. The reversal of 140085518400 is 4815580041.

The square root of 140085518400 is 374280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50430786624 + 89654731776 = 224568^2 + 299424^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140085518407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44912041 + ... + 44915159.

Almost surely, 2^140085518400 is an apocalyptic number.

140085518400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140085518400 is the 374280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140085518400

140085518400 is an abundant number, since it is smaller than the sum of its proper divisors (357971174461).

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

140085518400 is an frugal number, since it uses more digits than its factorization.

140085518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 140085518400 by its sum of digits (36), we get a square (5043078662400 = 2245680²).

140085518400 divided by its sum of digits (36) gives a square (3891264400 = 62380²).

The spelling of 140085518400 in words is "one hundred forty billion, eighty-five million, five hundred eighteen thousand, four hundred".