40510761648 has 240 divisors, whose sum is σ = 123442742016. Its totient is φ = 11213959680.

The previous prime is 40510761647. The next prime is 40510761673. The reversal of 40510761648 is 84616701504.

It is a super-2 number, since 2×40510761648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (40510761647) 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, 122388843 + ... + 122389173.

Almost surely, 2^40510761648 is an apocalyptic number.

40510761648 is a gapful number since it is divisible by the number (48) 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 40510761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61721371008).

40510761648 is an abundant number, since it is smaller than the sum of its proper divisors (82931980368).

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

40510761648 is a wasteful number, since it uses less digits than its factorization.

40510761648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 40510761648 in words is "forty billion, five hundred ten million, seven hundred sixty-one thousand, six hundred forty-eight".