180140439701040 has 1920 divisors, whose sum is σ = 752834034204672. Its totient is φ = 34652672778240.

The previous prime is 180140439700993. The next prime is 180140439701081. The reversal of 180140439701040 is 40107934041081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 180140439700983 and 180140439701001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23996324967 + ... + 23996332473.

Almost surely, 2^{180140439701040} is an apocalyptic number.

180140439701040 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 180140439701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376417017102336).

180140439701040 is an abundant number, since it is smaller than the sum of its proper divisors (572693594503632).

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

180140439701040 is a wasteful number, since it uses less digits than its factorization.

180140439701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 180140439701040 in words is "one hundred eighty trillion, one hundred forty billion, four hundred thirty-nine million, seven hundred one thousand, forty".