40509761040 has 640 divisors, whose sum is σ = 169703424000. Its totient is φ = 8670633984.

The previous prime is 40509761003. The next prime is 40509761041. The reversal of 40509761040 is 4016790504.

40509761040 is a `hidden beast` number, since 40 + 509 + 7 + 6 + 104 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40509760986 and 40509761004.

It is not an unprimeable number, because it can be changed into a prime (40509761041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92277141 + ... + 92277579.

It is an arithmetic number, because the mean of its divisors is an integer number (265161600).

Almost surely, 2^40509761040 is an apocalyptic number.

40509761040 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 40509761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712000).

40509761040 is an abundant number, since it is smaller than the sum of its proper divisors (129193662960).

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

40509761040 is a wasteful number, since it uses less digits than its factorization.

40509761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40509761040 in words is "forty billion, five hundred nine million, seven hundred sixty-one thousand, forty".