40840044808320 has 768 divisors, whose sum is σ = 154607585932800. Its totient is φ = 10153419374592.

The previous prime is 40840044808319. The next prime is 40840044808333. The reversal of 40840044808320 is 2380844004804.

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

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, 3363252169 + ... + 3363264311.

It is an arithmetic number, because the mean of its divisors is an integer number (201311960850).

Almost surely, 2^{40840044808320} is an apocalyptic number.

40840044808320 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 40840044808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77303792966400).

40840044808320 is an abundant number, since it is smaller than the sum of its proper divisors (113767541124480).

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

40840044808320 is a wasteful number, since it uses less digits than its factorization.

40840044808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

It can be divided in two parts, 4084004 and 4808320, that added together give a square (8892324 = 2982²).

The spelling of 40840044808320 in words is "forty trillion, eight hundred forty billion, forty-four million, eight hundred eight thousand, three hundred twenty".