140385583641600 has 1584 divisors, whose sum is σ = 569971139512320. Its totient is φ = 33953889484800.

The previous prime is 140385583641599. The next prime is 140385583641613. The reversal of 140385583641600 is 6146385583041.

It is a happy number.

140385583641600 is a `hidden beast` number, since 1 + 40 + 3 + 8 + 5 + 583 + 6 + 4 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×140385583641600³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 32777393059 + ... + 32777397341.

Almost surely, 2^{140385583641600} is an apocalyptic number.

140385583641600 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 140385583641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284985569756160).

140385583641600 is an abundant number, since it is smaller than the sum of its proper divisors (429585555870720).

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

140385583641600 is a wasteful number, since it uses less digits than its factorization.

140385583641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 140385583641600 in words is "one hundred forty trillion, three hundred eighty-five billion, five hundred eighty-three million, six hundred forty-one thousand, six hundred".