40051215360 has 792 divisors, whose sum is σ = 155444430960. Its totient is φ = 9523298304.

The previous prime is 40051215349. The next prime is 40051215367. The reversal of 40051215360 is 6351215004.

40051215360 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 121 + 536 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40051215367) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 288138171 + ... + 288138309.

Almost surely, 2^40051215360 is an apocalyptic number.

40051215360 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 40051215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77722215480).

40051215360 is an abundant number, since it is smaller than the sum of its proper divisors (115393215600).

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

40051215360 is a wasteful number, since it uses less digits than its factorization.

40051215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 40051215360 in words is "forty billion, fifty-one million, two hundred fifteen thousand, three hundred sixty".