1474451221320 has 768 divisors, whose sum is σ = 6242483220480. Its totient is φ = 292667443200.

The previous prime is 1474451221291. The next prime is 1474451221337. The reversal of 1474451221320 is 231221544741.

1474451221320 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 4 + 512 + 2 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814163215 + ... + 814165025.

It is an arithmetic number, because the mean of its divisors is an integer number (8128233360).

Almost surely, 2^{1474451221320} is an apocalyptic number.

1474451221320 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 1474451221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121241610240).

1474451221320 is an abundant number, since it is smaller than the sum of its proper divisors (4768031999160).

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

1474451221320 is a wasteful number, since it uses less digits than its factorization.

1474451221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1474451221320 in words is "one trillion, four hundred seventy-four billion, four hundred fifty-one million, two hundred twenty-one thousand, three hundred twenty".