40101758640 has 200 divisors, whose sum is σ = 139398743088. Its totient is φ = 10684638720.

The previous prime is 40101758639. The next prime is 40101758657. The reversal of 40101758640 is 4685710104.

It is a happy number.

40101758640 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 1 + 7 + 5 + 8 + 640 = 666.

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 = 40101758595 and 40101758604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11228055 + ... + 11231625.

Almost surely, 2^40101758640 is an apocalyptic number.

40101758640 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 40101758640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69699371544).

40101758640 is an abundant number, since it is smaller than the sum of its proper divisors (99296984448).

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

40101758640 is a wasteful number, since it uses less digits than its factorization.

40101758640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 40101758640 in words is "forty billion, one hundred one million, seven hundred fifty-eight thousand, six hundred forty".