1476580040480 has 192 divisors, whose sum is σ = 3823406828640. Its totient is φ = 536380637184.

The previous prime is 1476580040477. The next prime is 1476580040491. The reversal of 1476580040480 is 840400856741.

It can be written as a sum of positive squares in 16 ways, for example, as 155560825744 + 1321019214736 = 394412^2 + 1149356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148052774 + ... + 148062746.

Almost surely, 2^{1476580040480} is an apocalyptic number.

1476580040480 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 1476580040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911703414320).

1476580040480 is an abundant number, since it is smaller than the sum of its proper divisors (2346826788160).

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

1476580040480 is a wasteful number, since it uses less digits than its factorization.

1476580040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 1476580040480 in words is "one trillion, four hundred seventy-six billion, five hundred eighty million, forty thousand, four hundred eighty".