5140413900 has 360 divisors, whose sum is σ = 17745530880. Its totient is φ = 1283506560.

The previous prime is 5140413877. The next prime is 5140413983. The reversal of 5140413900 is 93140415.

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

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 119 ways as a sum of consecutive naturals, for example, 19545169 + ... + 19545431.

Almost surely, 2^5140413900 is an apocalyptic number.

5140413900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872765440).

5140413900 is an abundant number, since it is smaller than the sum of its proper divisors (12605116980).

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

5140413900 is a wasteful number, since it uses less digits than its factorization.

5140413900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5140413900 is about 71696.6798394458. The cubic root of 5140413900 is about 1725.8353609922.

The spelling of 5140413900 in words is "five billion, one hundred forty million, four hundred thirteen thousand, nine hundred".