415014313552 has 80 divisors (see below), whose sum is σ = 868035960000. Its totient is φ = 191583608832.

The previous prime is 415014313541. The next prime is 415014313573. The reversal of 415014313552 is 255313410514.

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, 5833974 + ... + 5904682.

It is an arithmetic number, because the mean of its divisors is an integer number (10850449500).

Almost surely, 2^415014313552 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 415014313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434017980000).

415014313552 is an abundant number, since it is smaller than the sum of its proper divisors (453021646448).

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

415014313552 is a wasteful number, since it uses less digits than its factorization.

415014313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71228 (or 71222 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 415014313552 in words is "four hundred fifteen billion, fourteen million, three hundred thirteen thousand, five hundred fifty-two".