415144451000 has 64 divisors (see below), whose sum is σ = 977871735360. Its totient is φ = 164958000000.

The previous prime is 415144450939. The next prime is 415144451011. The reversal of 415144451000 is 154441514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223651 + ... + 1525650.

It is an arithmetic number, because the mean of its divisors is an integer number (15279245865).

Almost surely, 2^415144451000 is an apocalyptic number.

415144451000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415144451000 is an abundant number, since it is smaller than the sum of its proper divisors (562727284360).

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

415144451000 is a wasteful number, since it uses less digits than its factorization.

415144451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749473 (or 2749459 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 415144451000 its reverse (154441514), we get a palindrome (415298892514).

The spelling of 415144451000 in words is "four hundred fifteen billion, one hundred forty-four million, four hundred fifty-one thousand".