6461425040 has 160 divisors (see below), whose sum is σ = 18098484480. Its totient is φ = 2098317312.

The previous prime is 6461425027. The next prime is 6461425043. The reversal of 6461425040 is 405241646.

It is a junction number, because it is equal to n+sod(n) for n = 6461424988 and 6461425006.

It is not an unprimeable number, because it can be changed into a prime (6461425043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856967 + ... + 864473.

It is an arithmetic number, because the mean of its divisors is an integer number (113115528).

Almost surely, 2^6461425040 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 6461425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049242240).

6461425040 is an abundant number, since it is smaller than the sum of its proper divisors (11637059440).

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

6461425040 is a wasteful number, since it uses less digits than its factorization.

6461425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 6461425040 is about 80382.9897428554. The cubic root of 6461425040 is about 1862.5564185123.

Adding to 6461425040 its reverse (405241646), we get a palindrome (6866666686).

The spelling of 6461425040 in words is "six billion, four hundred sixty-one million, four hundred twenty-five thousand, forty".