4514629140 has 288 divisors, whose sum is σ = 17445093120. Its totient is φ = 920014848.

The previous prime is 4514629139. The next prime is 4514629177. The reversal of 4514629140 is 419264154.

4514629140 is a `hidden beast` number, since 4 + 5 + 14 + 629 + 14 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4514629095 and 4514629104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401434 + ... + 412526.

It is an arithmetic number, because the mean of its divisors is an integer number (60573240).

Almost surely, 2^4514629140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4514629140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722546560).

4514629140 is an abundant number, since it is smaller than the sum of its proper divisors (12930463980).

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

4514629140 is a wasteful number, since it uses less digits than its factorization.

4514629140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11151 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4514629140 is about 67190.9900209842. The cubic root of 4514629140 is about 1652.7507394768.

The spelling of 4514629140 in words is "four billion, five hundred fourteen million, six hundred twenty-nine thousand, one hundred forty".