181712399040 has 336 divisors, whose sum is σ = 647947022112. Its totient is φ = 46703443968.

The previous prime is 181712399023. The next prime is 181712399041. The reversal of 181712399040 is 40993217181.

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 (181712399041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11393952 + ... + 11409888.

Almost surely, 2^181712399040 is an apocalyptic number.

181712399040 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 181712399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323973511056).

181712399040 is an abundant number, since it is smaller than the sum of its proper divisors (466234623072).

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

181712399040 is a wasteful number, since it uses less digits than its factorization.

181712399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16104 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 181712399040 in words is "one hundred eighty-one billion, seven hundred twelve million, three hundred ninety-nine thousand, forty".