15413430468480 has 768 divisors, whose sum is σ = 55698306048000. Its totient is φ = 3620656005120.

The previous prime is 15413430468473. The next prime is 15413430468503. The reversal of 15413430468480 is 8486403431451.

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 95 ways as a sum of consecutive naturals, for example, 1268693446 + ... + 1268705594.

It is an arithmetic number, because the mean of its divisors is an integer number (72523836000).

Almost surely, 2^{15413430468480} is an apocalyptic number.

15413430468480 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 15413430468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27849153024000).

15413430468480 is an abundant number, since it is smaller than the sum of its proper divisors (40284875579520).

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

15413430468480 is a wasteful number, since it uses less digits than its factorization.

15413430468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12363 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 15413430468480 in words is "fifteen trillion, four hundred thirteen billion, four hundred thirty million, four hundred sixty-eight thousand, four hundred eighty".