39428162484480 has 1440 divisors, whose sum is σ = 176052077042688. Its totient is φ = 8185477939200.

The previous prime is 39428162484463. The next prime is 39428162484499. The reversal of 39428162484480 is 8448426182493.

It is a happy number.

39428162484480 is a `hidden beast` number, since 3 + 9 + 4 + 28 + 162 + 4 + 8 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16629337695 + ... + 16629340065.

Almost surely, 2^{39428162484480} is an apocalyptic number.

39428162484480 is a gapful number since it is divisible by the number (30) 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 39428162484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88026038521344).

39428162484480 is an abundant number, since it is smaller than the sum of its proper divisors (136623914558208).

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

39428162484480 is a wasteful number, since it uses less digits than its factorization.

39428162484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 39428162484480 in words is "thirty-nine trillion, four hundred twenty-eight billion, one hundred sixty-two million, four hundred eighty-four thousand, four hundred eighty".