400140411010000 has 50 divisors (see below), whose sum is σ = 968779949120522. Its totient is φ = 160056164400000.

The previous prime is 400140411009991. The next prime is 400140411010019. The reversal of 400140411010000 is 10114041004.

It can be written as a sum of positive squares in 5 ways, for example, as 175258835423296 + 224881575586704 = 13238536^2 + 14996052^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×400140411010000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20007010551 + ... + 20007030550.

Almost surely, 2^{400140411010000} is an apocalyptic number.

400140411010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400140411010000 is an abundant number, since it is smaller than the sum of its proper divisors (568639538110522).

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

400140411010000 is an equidigital number, since it uses as much as digits as its factorization.

400140411010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40014041129 (or 40014041108 counting only the distinct ones).

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

Adding to 400140411010000 its reverse (10114041004), we get a palindrome (400150525051004).

The spelling of 400140411010000 in words is "four hundred trillion, one hundred forty billion, four hundred eleven million, ten thousand".