40101432111400 has 96 divisors (see below), whose sum is σ = 101713762224000. Its totient is φ = 14582059660800.

The previous prime is 40101432111287. The next prime is 40101432111431. The reversal of 40101432111400 is 411123410104.

40101432111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140466001 + ... + 140751199.

It is an arithmetic number, because the mean of its divisors is an integer number (1059518356500).

Almost surely, 2^{40101432111400} is an apocalyptic number.

40101432111400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40101432111400 is an abundant number, since it is smaller than the sum of its proper divisors (61612330112600).

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

40101432111400 is a wasteful number, since it uses less digits than its factorization.

40101432111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349139 (or 349130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 40101432111400 its reverse (411123410104), we get a palindrome (40512555521504).

The spelling of 40101432111400 in words is "forty trillion, one hundred one billion, four hundred thirty-two million, one hundred eleven thousand, four hundred".