40051221120 has 384 divisors, whose sum is σ = 149673363840. Its totient is φ = 10215051264.

The previous prime is 40051221079. The next prime is 40051221131. The reversal of 40051221120 is 2112215004.

40051221120 is a `hidden beast` number, since 40 + 0 + 512 + 2 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 40051221093 and 40051221102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3571362 + ... + 3582558.

It is an arithmetic number, because the mean of its divisors is an integer number (389774385).

Almost surely, 2^40051221120 is an apocalyptic number.

40051221120 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 40051221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74836681920).

40051221120 is an abundant number, since it is smaller than the sum of its proper divisors (109622142720).

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

40051221120 is a wasteful number, since it uses less digits than its factorization.

40051221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 40051221120 its reverse (2112215004), we get a palindrome (42163436124).

The spelling of 40051221120 in words is "forty billion, fifty-one million, two hundred twenty-one thousand, one hundred twenty".