6415411264020 has 144 divisors (see below), whose sum is σ = 21229991415360. Its totient is φ = 1555191705600.

The previous prime is 6415411263973. The next prime is 6415411264027. The reversal of 6415411264020 is 204621145146.

6415411264020 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 4 + 1 + 1 + 2 + 640 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6415411264027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74089911 + ... + 74176449.

It is an arithmetic number, because the mean of its divisors is an integer number (147430495940).

Almost surely, 2^{6415411264020} is an apocalyptic number.

6415411264020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6415411264020 is an abundant number, since it is smaller than the sum of its proper divisors (14814580151340).

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

6415411264020 is a wasteful number, since it uses less digits than its factorization.

6415411264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124006 (or 124001 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 641541126 and 4020, that added together give a palindrome (641545146).

The spelling of 6415411264020 in words is "six trillion, four hundred fifteen billion, four hundred eleven million, two hundred sixty-four thousand, twenty".