1471967922240 has 672 divisors, whose sum is σ = 5430976387200. Its totient is φ = 365220495360.

The previous prime is 1471967922167. The next prime is 1471967922263. The reversal of 1471967922240 is 422297691741.

1471967922240 is a `hidden beast` number, since 1 + 471 + 9 + 67 + 92 + 2 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284215971 + ... + 284221149.

It is an arithmetic number, because the mean of its divisors is an integer number (8081810100).

Almost surely, 2^{1471967922240} is an apocalyptic number.

1471967922240 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 1471967922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715488193600).

1471967922240 is an abundant number, since it is smaller than the sum of its proper divisors (3959008464960).

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

1471967922240 is a wasteful number, since it uses less digits than its factorization.

1471967922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1471967922240 in words is "one trillion, four hundred seventy-one billion, nine hundred sixty-seven million, nine hundred twenty-two thousand, two hundred forty".