40947163920 has 240 divisors, whose sum is σ = 148236553920. Its totient is φ = 10069484544.

The previous prime is 40947163919. The next prime is 40947163931. The reversal of 40947163920 is 2936174904.

It is a happy number.

40947163920 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 7 + 1 + 639 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 16126011 + ... + 16128549.

It is an arithmetic number, because the mean of its divisors is an integer number (617652308).

Almost surely, 2^40947163920 is an apocalyptic number.

40947163920 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 40947163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118276960).

40947163920 is an abundant number, since it is smaller than the sum of its proper divisors (107289390000).

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

40947163920 is a wasteful number, since it uses less digits than its factorization.

40947163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40947163920 in words is "forty billion, nine hundred forty-seven million, one hundred sixty-three thousand, nine hundred twenty".