5146727040 has 640 divisors, whose sum is σ = 22642139520. Its totient is φ = 1084907520.

The previous prime is 5146727017. The next prime is 5146727059. The reversal of 5146727040 is 407276415.

5146727040 is a `hidden beast` number, since 514 + 6 + 72 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5146726986 and 5146727004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716895 + ... + 4717985.

It is an arithmetic number, because the mean of its divisors is an integer number (35378343).

Almost surely, 2^5146727040 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 5146727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321069760).

5146727040 is an abundant number, since it is smaller than the sum of its proper divisors (17495412480).

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

5146727040 is a wasteful number, since it uses less digits than its factorization.

5146727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5146727040 is about 71740.6930549183. The cubic root of 5146727040 is about 1726.5415935469.

The spelling of 5146727040 in words is "five billion, one hundred forty-six million, seven hundred twenty-seven thousand, forty".