140416412220 has 96 divisors (see below), whose sum is σ = 499258368000. Its totient is φ = 32095179072.

The previous prime is 140416412219. The next prime is 140416412231. The reversal of 140416412220 is 22214614041.

140416412220 is a `hidden beast` number, since 14 + 0 + 4 + 1 + 641 + 2 + 2 + 2 + 0 = 666.

140416412220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×140416412220³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18569820 + ... + 18577379.

It is an arithmetic number, because the mean of its divisors is an integer number (5200608000).

Almost surely, 2^140416412220 is an apocalyptic number.

140416412220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140416412220 is an abundant number, since it is smaller than the sum of its proper divisors (358841955780).

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

140416412220 is a wasteful number, since it uses less digits than its factorization.

140416412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37147224 (or 37147216 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 140416412220 in words is "one hundred forty billion, four hundred sixteen million, four hundred twelve thousand, two hundred twenty".