95143431428640 has 1152 divisors, whose sum is σ = 411179920220160. Its totient is φ = 19532229083136.

The previous prime is 95143431428629. The next prime is 95143431428687. The reversal of 95143431428640 is 4682413434159.

95143431428640 is a `hidden beast` number, since 9 + 5 + 1 + 4 + 3 + 4 + 314 + 286 + 40 = 666.

It is a super-2 number, since 2×95143431428640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497664909 + ... + 497856051.

It is an arithmetic number, because the mean of its divisors is an integer number (356927014080).

Almost surely, 2^{95143431428640} is an apocalyptic number.

95143431428640 is a gapful number since it is divisible by the number (90) 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 95143431428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205589960110080).

95143431428640 is an abundant number, since it is smaller than the sum of its proper divisors (316036488791520).

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

95143431428640 is a wasteful number, since it uses less digits than its factorization.

95143431428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191326 (or 191315 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 95143431428640 in words is "ninety-five trillion, one hundred forty-three billion, four hundred thirty-one million, four hundred twenty-eight thousand, six hundred forty".