40107735360 has 1344 divisors, whose sum is σ = 187292528640. Its totient is φ = 7848161280.

The previous prime is 40107735331. The next prime is 40107735361. The reversal of 40107735360 is 6353770104.

40107735360 is a `hidden beast` number, since 40 + 10 + 7 + 73 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107735361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240165997 + ... + 240166163.

It is an arithmetic number, because the mean of its divisors is an integer number (139354560).

Almost surely, 2^40107735360 is an apocalyptic number.

40107735360 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 40107735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93646264320).

40107735360 is an abundant number, since it is smaller than the sum of its proper divisors (147184793280).

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

40107735360 is a wasteful number, since it uses less digits than its factorization.

40107735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 40107735360 in words is "forty billion, one hundred seven million, seven hundred thirty-five thousand, three hundred sixty".