6211457040 has 80 divisors (see below), whose sum is σ = 19336262400. Its totient is φ = 1649442816.

The previous prime is 6211457039. The next prime is 6211457041. The reversal of 6211457040 is 407541126.

It is an interprime number because it is at equal distance from previous prime (6211457039) and next prime (6211457041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6211456989 and 6211457007.

It is not an unprimeable number, because it can be changed into a prime (6211457041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216 + ... + 111504.

It is an arithmetic number, because the mean of its divisors is an integer number (241703280).

Almost surely, 2^6211457040 is an apocalyptic number.

6211457040 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 6211457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668131200).

6211457040 is an abundant number, since it is smaller than the sum of its proper divisors (13124805360).

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

6211457040 is a wasteful number, since it uses less digits than its factorization.

6211457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108544 (or 108538 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6211457040 is about 78812.7974379796. The cubic root of 6211457040 is about 1838.2214461706.

Adding to 6211457040 its reverse (407541126), we get a palindrome (6618998166).

The spelling of 6211457040 in words is "six billion, two hundred eleven million, four hundred fifty-seven thousand, forty".