40884840000 has 315 divisors, whose sum is σ = 146875216917. Its totient is φ = 10870272000.

The previous prime is 40884839981. The next prime is 40884840041. The reversal of 40884840000 is 4848804.

The square root of 40884840000 is 202200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 38137402944 + 2747437056 = 195288^2 + 52416^2 .

It is a super-3 number, since 3×40884840000³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121319832 + ... + 121320168.

Almost surely, 2^40884840000 is an apocalyptic number.

40884840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40884840000 is the 202200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40884840000

40884840000 is an abundant number, since it is smaller than the sum of its proper divisors (105990376917).

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

40884840000 is an frugal number, since it uses more digits than its factorization.

40884840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 40884840000 by its sum of digits (36), we get a square (1471854240000 = 1213200²).

40884840000 divided by its sum of digits (36) gives a square (1135690000 = 33700²).

The spelling of 40884840000 in words is "forty billion, eight hundred eighty-four million, eight hundred forty thousand".