40833815040 has 1280 divisors, whose sum is σ = 169703424000. Its totient is φ = 9236643840.

The previous prime is 40833814999. The next prime is 40833815041. The reversal of 40833815040 is 4051833804.

40833815040 is a `hidden beast` number, since 40 + 8 + 33 + 81 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 40833814986 and 40833815004.

It is not an unprimeable number, because it can be changed into a prime (40833815041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692098531 + ... + 692098589.

It is an arithmetic number, because the mean of its divisors is an integer number (132580800).

Almost surely, 2^40833815040 is an apocalyptic number.

40833815040 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 40833815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712000).

40833815040 is an abundant number, since it is smaller than the sum of its proper divisors (128869608960).

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

40833815040 is a wasteful number, since it uses less digits than its factorization.

40833815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40833815040 in words is "forty billion, eight hundred thirty-three million, eight hundred fifteen thousand, forty".