146171120891040 has 288 divisors, whose sum is σ = 570221215724160. Its totient is φ = 33401525409792.

The previous prime is 146171120891009. The next prime is 146171120891053. The reversal of 146171120891040 is 40198021171641.

146171120891040 is a `hidden beast` number, since 1 + 4 + 617 + 1 + 1 + 20 + 8 + 9 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×146171120891040³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35431867 + ... + 39341573.

It is an arithmetic number, because the mean of its divisors is an integer number (1979934776820).

Almost surely, 2^{146171120891040} is an apocalyptic number.

146171120891040 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 146171120891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285110607862080).

146171120891040 is an abundant number, since it is smaller than the sum of its proper divisors (424050094833120).

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

146171120891040 is a wasteful number, since it uses less digits than its factorization.

146171120891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913444 (or 3913433 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 146171120891040 in words is "one hundred forty-six trillion, one hundred seventy-one billion, one hundred twenty million, eight hundred ninety-one thousand, forty".