145884417840 has 480 divisors, whose sum is σ = 574394236416. Its totient is φ = 32486952960.

The previous prime is 145884417821. The next prime is 145884417893. The reversal of 145884417840 is 48714488541.

145884417840 is a `hidden beast` number, since 1 + 4 + 588 + 4 + 4 + 17 + 8 + 40 = 666.

It is a super-3 number, since 3×145884417840³ (a number of 34 digits) contains 333 as substring.

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, 133715695 + ... + 133716785.

Almost surely, 2^145884417840 is an apocalyptic number.

145884417840 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 145884417840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287197118208).

145884417840 is an abundant number, since it is smaller than the sum of its proper divisors (428509818576).

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

145884417840 is a wasteful number, since it uses less digits than its factorization.

145884417840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 145884417840 in words is "one hundred forty-five billion, eight hundred eighty-four million, four hundred seventeen thousand, eight hundred forty".