40100227776 has 672 divisors, whose sum is σ = 150178129920. Its totient is φ = 9953280000.

The previous prime is 40100227771. The next prime is 40100227789. The reversal of 40100227776 is 67772200104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40100227776.

It is not an unprimeable number, because it can be changed into a prime (40100227771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53395401 + ... + 53396151.

It is an arithmetic number, because the mean of its divisors is an integer number (223479360).

Almost surely, 2^40100227776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75089064960).

40100227776 is an abundant number, since it is smaller than the sum of its proper divisors (110077902144).

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

40100227776 is a wasteful number, since it uses less digits than its factorization.

40100227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 40100227776 in words is "forty billion, one hundred million, two hundred twenty-seven thousand, seven hundred seventy-six".