5140276416 has 448 divisors, whose sum is σ = 17810073600. Its totient is φ = 1437004800.

The previous prime is 5140276409. The next prime is 5140276499. The reversal of 5140276416 is 6146720415.

5140276416 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 2 + 7 + 641 + 6 = 666.

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

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, 15529371 + ... + 15529701.

Almost surely, 2^5140276416 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 5140276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905036800).

5140276416 is an abundant number, since it is smaller than the sum of its proper divisors (12669797184).

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

5140276416 is a wasteful number, since it uses less digits than its factorization.

5140276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5140276416 is about 71695.7210438670. The cubic root of 5140276416 is about 1725.8199746265.

The spelling of 5140276416 in words is "five billion, one hundred forty million, two hundred seventy-six thousand, four hundred sixteen".