400011141040 has 320 divisors, whose sum is σ = 1163083843584. Its totient is φ = 124802187264.

The previous prime is 400011140987. The next prime is 400011141083. The reversal of 400011141040 is 40141110004.

It is a super-2 number, since 2×400011141040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57411637 + ... + 57418603.

Almost surely, 2^400011141040 is an apocalyptic number.

400011141040 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 400011141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581541921792).

400011141040 is an abundant number, since it is smaller than the sum of its proper divisors (763072702544).

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

400011141040 is a wasteful number, since it uses less digits than its factorization.

400011141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 400011141040 its reverse (40141110004), we get a palindrome (440152251044).

The spelling of 400011141040 in words is "four hundred billion, eleven million, one hundred forty-one thousand, forty".