40946109120 has 840 divisors, whose sum is σ = 171624065184. Its totient is φ = 9238634496.

The previous prime is 40946109107. The next prime is 40946109181. The reversal of 40946109120 is 2190164904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 130818084 + ... + 130818396.

Almost surely, 2^40946109120 is an apocalyptic number.

40946109120 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 40946109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85812032592).

40946109120 is an abundant number, since it is smaller than the sum of its proper divisors (130677956064).

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

40946109120 is a wasteful number, since it uses less digits than its factorization.

40946109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40946109120 in words is "forty billion, nine hundred forty-six million, one hundred nine thousand, one hundred twenty".