40651683840 has 864 divisors, whose sum is σ = 159855761520. Its totient is φ = 9873653760.

The previous prime is 40651683811. The next prime is 40651683847. The reversal of 40651683840 is 4838615604.

40651683840 is a `hidden beast` number, since 406 + 5 + 168 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40651683847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1311344625 + ... + 1311344655.

Almost surely, 2^40651683840 is an apocalyptic number.

40651683840 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 40651683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79927880760).

40651683840 is an abundant number, since it is smaller than the sum of its proper divisors (119204077680).

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

40651683840 is an equidigital number, since it uses as much as digits as its factorization.

40651683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40651683840 in words is "forty billion, six hundred fifty-one million, six hundred eighty-three thousand, eight hundred forty".