40330967040 has 1152 divisors, whose sum is σ = 180383112000. Its totient is φ = 8472231936.

The previous prime is 40330967023. The next prime is 40330967119. The reversal of 40330967040 is 4076903304.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 40330966986 and 40330967004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176117646 + ... + 176117874.

Almost surely, 2^40330967040 is an apocalyptic number.

40330967040 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 40330967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90191556000).

40330967040 is an abundant number, since it is smaller than the sum of its proper divisors (140052144960).

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

40330967040 is a wasteful number, since it uses less digits than its factorization.

40330967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 40330967040 in words is "forty billion, three hundred thirty million, nine hundred sixty-seven thousand, forty".