140414400 has 378 divisors, whose sum is σ = 583463400. Its totient is φ = 31933440.

The previous prime is 140414399. The next prime is 140414413. The reversal of 140414400 is 4414041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705501 + ... + 705699.

Almost surely, 2^140414400 is an apocalyptic number.

140414400 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 140414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291731700).

140414400 is an abundant number, since it is smaller than the sum of its proper divisors (443049000).

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

140414400 is a wasteful number, since it uses less digits than its factorization.

140414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 140414400 is about 11849.6582229193. The cubic root of 140414400 is about 519.7612316044.

Adding to 140414400 its reverse (4414041), we get a palindrome (144828441).

The spelling of 140414400 in words is "one hundred forty million, four hundred fourteen thousand, four hundred".