1479984929280 has 1920 divisors, whose sum is σ = 6341930090496. Its totient is φ = 326069452800.

The previous prime is 1479984929279. The next prime is 1479984929317. The reversal of 1479984929280 is 829294899741.

1479984929280 is a `hidden beast` number, since 1 + 47 + 9 + 9 + 8 + 492 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1479984929199 and 1479984929208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11297594815 + ... + 11297594945.

Almost surely, 2^{1479984929280} is an apocalyptic number.

1479984929280 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 1479984929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170965045248).

1479984929280 is an abundant number, since it is smaller than the sum of its proper divisors (4861945161216).

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

1479984929280 is a wasteful number, since it uses less digits than its factorization.

1479984929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1479984929280 in words is "one trillion, four hundred seventy-nine billion, nine hundred eighty-four million, nine hundred twenty-nine thousand, two hundred eighty".