1471223679408 has 640 divisors, whose sum is σ = 5268488192000. Its totient is φ = 383590702080.

The previous prime is 1471223679397. The next prime is 1471223679437. The reversal of 1471223679408 is 8049763221741.

1471223679408 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 223 + 6 + 7 + 9 + 408 = 666.

It is a super-2 number, since 2×1471223679408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407878341 + ... + 407881947.

It is an arithmetic number, because the mean of its divisors is an integer number (8232012800).

Almost surely, 2^{1471223679408} is an apocalyptic number.

1471223679408 is a gapful number since it is divisible by the number (18) 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 1471223679408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634244096000).

1471223679408 is an abundant number, since it is smaller than the sum of its proper divisors (3797264512592).

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

1471223679408 is a wasteful number, since it uses less digits than its factorization.

1471223679408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1471223679408 in words is "one trillion, four hundred seventy-one billion, two hundred twenty-three million, six hundred seventy-nine thousand, four hundred eight".