6211434240 has 288 divisors, whose sum is σ = 24047251200. Its totient is φ = 1505710080.

The previous prime is 6211434233. The next prime is 6211434253. The reversal of 6211434240 is 424341126.

It is a happy number.

6211434240 is a `hidden beast` number, since 621 + 1 + 4 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371991 + ... + 388329.

It is an arithmetic number, because the mean of its divisors is an integer number (83497400).

Almost surely, 2^6211434240 is an apocalyptic number.

6211434240 is a gapful number since it is divisible by the number (60) 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 6211434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023625600).

6211434240 is an abundant number, since it is smaller than the sum of its proper divisors (17835816960).

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

6211434240 is a wasteful number, since it uses less digits than its factorization.

6211434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16380 (or 16360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6211434240 is about 78812.6527912873. The cubic root of 6211434240 is about 1838.2191970204.

Adding to 6211434240 its reverse (424341126), we get a palindrome (6635775366).

The spelling of 6211434240 in words is "six billion, two hundred eleven million, four hundred thirty-four thousand, two hundred forty".