40106586240 has 1152 divisors, whose sum is σ = 176499086400. Its totient is φ = 8653381632.

The previous prime is 40106586227. The next prime is 40106586241. The reversal of 40106586240 is 4268560104.

40106586240 is a `hidden beast` number, since 40 + 10 + 6 + 586 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 40106586195 and 40106586204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106586241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144788982 + ... + 144789258.

Almost surely, 2^40106586240 is an apocalyptic number.

40106586240 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 40106586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88249543200).

40106586240 is an abundant number, since it is smaller than the sum of its proper divisors (136392500160).

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

40106586240 is a wasteful number, since it uses less digits than its factorization.

40106586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40106586240 in words is "forty billion, one hundred six million, five hundred eighty-six thousand, two hundred forty".