140210400 has 288 divisors, whose sum is σ = 512967168. Its totient is φ = 32972800.

The previous prime is 140210393. The next prime is 140210419. The reversal of 140210400 is 4012041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240744 + ... + 1240856.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^140210400 is an apocalyptic number.

140210400 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 140210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

140210400 is an abundant number, since it is smaller than the sum of its proper divisors (372756768).

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

140210400 is a wasteful number, since it uses less digits than its factorization.

140210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 140210400 is about 11841.0472509825. The cubic root of 140210400 is about 519.5093992148.

Adding to 140210400 its reverse (4012041), we get a palindrome (144222441).

The spelling of 140210400 in words is "one hundred forty million, two hundred ten thousand, four hundred".