5211397440 has 336 divisors, whose sum is σ = 19238244480. Its totient is φ = 1341204480.

The previous prime is 5211397439. The next prime is 5211397483. The reversal of 5211397440 is 447931125.

5211397440 is a `hidden beast` number, since 521 + 1 + 3 + 97 + 4 + 40 = 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 = 5211397395 and 5211397404.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2253885 + ... + 2256195.

It is an arithmetic number, because the mean of its divisors is an integer number (57256680).

Almost surely, 2^5211397440 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 5211397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619122240).

5211397440 is an abundant number, since it is smaller than the sum of its proper divisors (14026847040).

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

5211397440 is a wasteful number, since it uses less digits than its factorization.

5211397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5211397440 is about 72190.0092810633. The cubic root of 5211397440 is about 1733.7430445026.

The spelling of 5211397440 in words is "five billion, two hundred eleven million, three hundred ninety-seven thousand, four hundred forty".