5140661220 has 192 divisors, whose sum is σ = 16603776000. Its totient is φ = 1318851072.

The previous prime is 5140661203. The next prime is 5140661257. The reversal of 5140661220 is 221660415.

5140661220 is a `hidden beast` number, since 5 + 1 + 40 + 6 + 612 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7250226 + ... + 7250934.

It is an arithmetic number, because the mean of its divisors is an integer number (86478000).

Almost surely, 2^5140661220 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 5140661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301888000).

5140661220 is an abundant number, since it is smaller than the sum of its proper divisors (11463114780).

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

5140661220 is a wasteful number, since it uses less digits than its factorization.

5140661220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5140661220 is about 71698.4045847605. The cubic root of 5140661220 is about 1725.8630388384.

The spelling of 5140661220 in words is "five billion, one hundred forty million, six hundred sixty-one thousand, two hundred twenty".