402302003400 has 672 divisors, whose sum is σ = 1551863085120. Its totient is φ = 96126912000.

The previous prime is 402302003339. The next prime is 402302003401. The reversal of 402302003400 is 4300203204.

402302003400 is a `hidden beast` number, since 40 + 23 + 0 + 200 + 3 + 400 = 666.

It is a super-3 number, since 3×402302003400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402302003401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 113868034 + ... + 113871566.

Almost surely, 2^402302003400 is an apocalyptic number.

402302003400 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 402302003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775931542560).

402302003400 is an abundant number, since it is smaller than the sum of its proper divisors (1149561081720).

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

402302003400 is a wasteful number, since it uses less digits than its factorization.

402302003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 402302003400 its reverse (4300203204), we get a palindrome (406602206604).

The spelling of 402302003400 in words is "four hundred two billion, three hundred two million, three thousand, four hundred".