40404040404000 has 1536 divisors, whose sum is σ = 168985659967488. Its totient is φ = 8211456000000.

The previous prime is 40404040403927. The next prime is 40404040404011. The reversal of 40404040404000 is 40404040404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4080799050 + ... + 4080808950.

It is an arithmetic number, because the mean of its divisors is an integer number (110016705708).

Almost surely, 2^{40404040404000} is an apocalyptic number.

40404040404000 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 40404040404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84492829983744).

40404040404000 is an abundant number, since it is smaller than the sum of its proper divisors (128581619563488).

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

40404040404000 is a wasteful number, since it uses less digits than its factorization.

40404040404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40404040404000 its reverse (40404040404), we get a palindrome (40444444444404).

40404040404000 divided by its reverse (40404040404) gives a cube (1000 = 10³).

It can be divided in two parts, 404040 and 40404000, that multiplied together give a square (16324832160000 = 4040400²).

The spelling of 40404040404000 in words is "forty trillion, four hundred four billion, forty million, four hundred four thousand".