40051292288 has 200 divisors, whose sum is σ = 98253632055. Its totient is φ = 16261426944.

The previous prime is 40051292287. The next prime is 40051292293. The reversal of 40051292288 is 88229215004.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20025646144 + 20025646144 = 141512^2 + 141512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=141512.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40051292287) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2107962743 + ... + 2107962761.

Almost surely, 2^40051292288 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 40051292288

40051292288 is an abundant number, since it is smaller than the sum of its proper divisors (58202339767).

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

40051292288 is an frugal number, since it uses more digits than its factorization.

40051292288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 40051292288 in words is "forty billion, fifty-one million, two hundred ninety-two thousand, two hundred eighty-eight".