140048047180800 has 5280 divisors, whose sum is σ = 641963615698944. Its totient is φ = 29741285376000.

The previous prime is 140048047180793. The next prime is 140048047180807. The reversal of 140048047180800 is 8081740840041.

It is a happy number.

140048047180800 is a `hidden beast` number, since 1 + 40 + 0 + 480 + 47 + 18 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140048047180793) and next prime (140048047180807).

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×140048047180800² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (140048047180807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 365660697409 + ... + 365660697791.

Almost surely, 2^{140048047180800} is an apocalyptic number.

140048047180800 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 140048047180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320981807849472).

140048047180800 is an abundant number, since it is smaller than the sum of its proper divisors (501915568518144).

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

140048047180800 is a wasteful number, since it uses less digits than its factorization.

140048047180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 140048047180800 in words is "one hundred forty trillion, forty-eight billion, forty-seven million, one hundred eighty thousand, eight hundred".