1464403405020 has 192 divisors, whose sum is σ = 4304864019456. Its totient is φ = 371530414080.

The previous prime is 1464403404991. The next prime is 1464403405021. The reversal of 1464403405020 is 205043044641.

It is a happy number.

It is a super-2 number, since 2×1464403405020² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464403405021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68428962 + ... + 68450358.

It is an arithmetic number, because the mean of its divisors is an integer number (22421166768).

Almost surely, 2^{1464403405020} is an apocalyptic number.

1464403405020 is a gapful number since it is divisible by the number (10) 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 1464403405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152432009728).

1464403405020 is an abundant number, since it is smaller than the sum of its proper divisors (2840460614436).

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

1464403405020 is a wasteful number, since it uses less digits than its factorization.

1464403405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22138 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 1464403405020 its reverse (205043044641), we get a palindrome (1669446449661).

The spelling of 1464403405020 in words is "one trillion, four hundred sixty-four billion, four hundred three million, four hundred five thousand, twenty".