40181581440 has 2048 divisors, whose sum is σ = 201354854400. Its totient is φ = 7299072000.

The previous prime is 40181581421. The next prime is 40181581459. The reversal of 40181581440 is 4418518104.

It is an interprime number because it is at equal distance from previous prime (40181581421) and next prime (40181581459).

It is a super-2 number, since 2×40181581440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40181581395 and 40181581404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 397837390 + ... + 397837490.

It is an arithmetic number, because the mean of its divisors is an integer number (98317800).

Almost surely, 2^40181581440 is an apocalyptic number.

40181581440 is a gapful number since it is divisible by the number (40) 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 40181581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100677427200).

40181581440 is an abundant number, since it is smaller than the sum of its proper divisors (161173272960).

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

40181581440 is a wasteful number, since it uses less digits than its factorization.

40181581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 40181581440 in words is "forty billion, one hundred eighty-one million, five hundred eighty-one thousand, four hundred forty".