15828421440 has 448 divisors, whose sum is σ = 56433549312. Its totient is φ = 3732480000.

The previous prime is 15828421397. The next prime is 15828421457. The reversal of 15828421440 is 4412482851.

15828421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 63061315 + ... + 63061565.

It is an arithmetic number, because the mean of its divisors is an integer number (125967744).

Almost surely, 2^15828421440 is an apocalyptic number.

15828421440 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 15828421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28216774656).

15828421440 is an abundant number, since it is smaller than the sum of its proper divisors (40605127872).

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

15828421440 is a wasteful number, since it uses less digits than its factorization.

15828421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 15828421440 in words is "fifteen billion, eight hundred twenty-eight million, four hundred twenty-one thousand, four hundred forty".