40651986960 has 240 divisors, whose sum is σ = 147181454784. Its totient is φ = 9995977728.

The previous prime is 40651986929. The next prime is 40651986979. The reversal of 40651986960 is 6968915604.

It is a happy number.

40651986960 is a `hidden beast` number, since 4 + 0 + 6 + 519 + 8 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×40651986960³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40651986897 and 40651986906.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12231859 + ... + 12235181.

Almost surely, 2^40651986960 is an apocalyptic number.

40651986960 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 40651986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73590727392).

40651986960 is an abundant number, since it is smaller than the sum of its proper divisors (106529467824).

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

40651986960 is a wasteful number, since it uses less digits than its factorization.

40651986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 40651986960 in words is "forty billion, six hundred fifty-one million, nine hundred eighty-six thousand, nine hundred sixty".