402430041200 has 240 divisors, whose sum is σ = 1085143763616. Its totient is φ = 142132838400.

The previous prime is 402430041191. The next prime is 402430041269. The reversal of 402430041200 is 2140034204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109562564 + ... + 109566236.

Almost surely, 2^402430041200 is an apocalyptic number.

402430041200 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 402430041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542571881808).

402430041200 is an abundant number, since it is smaller than the sum of its proper divisors (682713722416).

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

402430041200 is a wasteful number, since it uses less digits than its factorization.

402430041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 402430041200 its reverse (2140034204), we get a palindrome (404570075404).

It can be divided in two parts, 40243004 and 1200, that added together give a palindrome (40244204).

The spelling of 402430041200 in words is "four hundred two billion, four hundred thirty million, forty-one thousand, two hundred".