40228611120 has 560 divisors, whose sum is σ = 146224932672. Its totient is φ = 10279249920.

The previous prime is 40228611103. The next prime is 40228611131. The reversal of 40228611120 is 2111682204.

40228611120 is a `hidden beast` number, since 4 + 0 + 2 + 28 + 611 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 222257430 + ... + 222257610.

Almost surely, 2^40228611120 is an apocalyptic number.

40228611120 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 40228611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73112466336).

40228611120 is an abundant number, since it is smaller than the sum of its proper divisors (105996321552).

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

40228611120 is a wasteful number, since it uses less digits than its factorization.

40228611120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40228611120 in words is "forty billion, two hundred twenty-eight million, six hundred eleven thousand, one hundred twenty".