6461222040 has 512 divisors, whose sum is σ = 27433728000. Its totient is φ = 1315657728.

The previous prime is 6461222039. The next prime is 6461222063. The reversal of 6461222040 is 402221646.

6461222040 is a `hidden beast` number, since 6 + 4 + 612 + 2 + 2 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6461221995 and 6461222013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2848987 + ... + 2851253.

It is an arithmetic number, because the mean of its divisors is an integer number (53581500).

Almost surely, 2^6461222040 is an apocalyptic number.

6461222040 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 6461222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864000).

6461222040 is an abundant number, since it is smaller than the sum of its proper divisors (20972505960).

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

6461222040 is a wasteful number, since it uses less digits than its factorization.

6461222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2326 counting only the distinct ones).

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

The square root of 6461222040 is about 80381.7270279757. The cubic root of 6461222040 is about 1862.5369128609.

Adding to 6461222040 its reverse (402221646), we get a palindrome (6863443686).

The spelling of 6461222040 in words is "six billion, four hundred sixty-one million, two hundred twenty-two thousand, forty".