402104013400 has 96 divisors (see below), whose sum is σ = 945486360000. Its totient is φ = 159022264320.

The previous prime is 402104013397. The next prime is 402104013407. The reversal of 402104013400 is 4310401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402104013407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20146626 + ... + 20166574.

It is an arithmetic number, because the mean of its divisors is an integer number (9848816250).

Almost surely, 2^402104013400 is an apocalyptic number.

402104013400 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 402104013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472743180000).

402104013400 is an abundant number, since it is smaller than the sum of its proper divisors (543382346600).

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

402104013400 is a wasteful number, since it uses less digits than its factorization.

402104013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101 (or 21092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 402104013400 its reverse (4310401204), we get a palindrome (406414414604).

The spelling of 402104013400 in words is "four hundred two billion, one hundred four million, thirteen thousand, four hundred".