140055801600 has 864 divisors, whose sum is σ = 562064025600. Its totient is φ = 30243225600.

The previous prime is 140055801583. The next prime is 140055801607. The reversal of 140055801600 is 6108550041.

140055801600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140055801607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79621521 + ... + 79623279.

Almost surely, 2^140055801600 is an apocalyptic number.

140055801600 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 140055801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281032012800).

140055801600 is an abundant number, since it is smaller than the sum of its proper divisors (422008224000).

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

140055801600 is a wasteful number, since it uses less digits than its factorization.

140055801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 140055801600 in words is "one hundred forty billion, fifty-five million, eight hundred one thousand, six hundred".