4516133940 has 240 divisors, whose sum is σ = 15397240320. Its totient is φ = 1103880960.

The previous prime is 4516133933. The next prime is 4516133957. The reversal of 4516133940 is 493316154.

4516133940 is a `hidden beast` number, since 4 + 5 + 1 + 613 + 39 + 4 + 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 = 4516133895 and 4516133904.

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, 951814 + ... + 956546.

It is an arithmetic number, because the mean of its divisors is an integer number (64155168).

Almost surely, 2^4516133940 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 4516133940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698620160).

4516133940 is an abundant number, since it is smaller than the sum of its proper divisors (10881106380).

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

4516133940 is a wasteful number, since it uses less digits than its factorization.

4516133940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4516133940 is about 67202.1870179833. The cubic root of 4516133940 is about 1652.9343487287.

The spelling of 4516133940 in words is "four billion, five hundred sixteen million, one hundred thirty-three thousand, nine hundred forty".