40010241600 has 1008 divisors, whose sum is σ = 172014018176. Its totient is φ = 8957952000.

The previous prime is 40010241599. The next prime is 40010241613. The reversal of 40010241600 is 614201004.

40010241600 is a `hidden beast` number, since 40 + 0 + 1 + 0 + 24 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166017480 + ... + 166017720.

Almost surely, 2^40010241600 is an apocalyptic number.

40010241600 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 40010241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86007009088).

40010241600 is an abundant number, since it is smaller than the sum of its proper divisors (132003776576).

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

40010241600 is a wasteful number, since it uses less digits than its factorization.

40010241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40010241600 its reverse (614201004), we get a palindrome (40624442604).

The spelling of 40010241600 in words is "forty billion, ten million, two hundred forty-one thousand, six hundred".