40400102414320 has 120 divisors (see below), whose sum is σ = 103256542220832. Its totient is φ = 14689394142720.

The previous prime is 40400102414299. The next prime is 40400102414327. The reversal of 40400102414320 is 2341420100404.

40400102414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400102414327) by changing a digit.

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, 93457717 + ... + 93889003.

Almost surely, 2^{40400102414320} is an apocalyptic number.

40400102414320 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 40400102414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51628271110416).

40400102414320 is an abundant number, since it is smaller than the sum of its proper divisors (62856439806512).

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

40400102414320 is a wasteful number, since it uses less digits than its factorization.

40400102414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440999 (or 440982 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40400102414320 its reverse (2341420100404), we get a palindrome (42741522514724).

The spelling of 40400102414320 in words is "forty trillion, four hundred billion, one hundred two million, four hundred fourteen thousand, three hundred twenty".