1479689078400 has 960 divisors, whose sum is σ = 5919977789880. Its totient is φ = 361781821440.

The previous prime is 1479689078389. The next prime is 1479689078407. The reversal of 1479689078400 is 48709869741.

1479689078400 is a `hidden beast` number, since 1 + 4 + 79 + 6 + 8 + 90 + 78 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8009534016 + 1471679544384 = 89496^2 + 1213128^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (1479689078407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 529025802 + ... + 529028598.

Almost surely, 2^{1479689078400} is an apocalyptic number.

1479689078400 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 1479689078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959988894940).

1479689078400 is an abundant number, since it is smaller than the sum of its proper divisors (4440288711480).

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

1479689078400 is a wasteful number, since it uses less digits than its factorization.

1479689078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1479689078400 in words is "one trillion, four hundred seventy-nine billion, six hundred eighty-nine million, seventy-eight thousand, four hundred".