1978104300480 has 2688 divisors, whose sum is σ = 9316697241600. Its totient is φ = 390168576000.

The previous prime is 1978104300343. The next prime is 1978104300481. The reversal of 1978104300480 is 840034018791.

It is a happy number.

1978104300480 is a `hidden beast` number, since 1 + 97 + 81 + 0 + 4 + 3 + 0 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978104300481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13100028405 + ... + 13100028555.

It is an arithmetic number, because the mean of its divisors is an integer number (3466033200).

Almost surely, 2^{1978104300480} is an apocalyptic number.

1978104300480 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 1978104300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658348620800).

1978104300480 is an abundant number, since it is smaller than the sum of its proper divisors (7338592941120).

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

1978104300480 is a wasteful number, since it uses less digits than its factorization.

1978104300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1978104300480 in words is "one trillion, nine hundred seventy-eight billion, one hundred four million, three hundred thousand, four hundred eighty".