40631685120 has 624 divisors, whose sum is σ = 156852014592. Its totient is φ = 9661317120.

The previous prime is 40631685113. The next prime is 40631685121. The reversal of 40631685120 is 2158613604.

It is a happy number.

40631685120 is a `hidden beast` number, since 4 + 0 + 631 + 6 + 8 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40631685121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74280687 + ... + 74281233.

It is an arithmetic number, because the mean of its divisors is an integer number (251365408).

Almost surely, 2^40631685120 is an apocalyptic number.

40631685120 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 40631685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78426007296).

40631685120 is an abundant number, since it is smaller than the sum of its proper divisors (116220329472).

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

40631685120 is a wasteful number, since it uses less digits than its factorization.

40631685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40631685120 in words is "forty billion, six hundred thirty-one million, six hundred eighty-five thousand, one hundred twenty".