1471468965120 has 2592 divisors, whose sum is σ = 6851923094016. Its totient is φ = 298896998400.

The previous prime is 1471468965091. The next prime is 1471468965143. The reversal of 1471468965120 is 215698641741.

1471468965120 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 46 + 89 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1471468965120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11232587455 + ... + 11232587585.

It is an arithmetic number, because the mean of its divisors is an integer number (2643488848).

Almost surely, 2^{1471468965120} is an apocalyptic number.

1471468965120 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 1471468965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425961547008).

1471468965120 is an abundant number, since it is smaller than the sum of its proper divisors (5380454128896).

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

1471468965120 is a wasteful number, since it uses less digits than its factorization.

1471468965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1471468965120 in words is "one trillion, four hundred seventy-one billion, four hundred sixty-eight million, nine hundred sixty-five thousand, one hundred twenty".