402130542400 has 84 divisors (see below), whose sum is σ = 991141246060. Its totient is φ = 160584192000.

The previous prime is 402130542371. The next prime is 402130542427. The reversal of 402130542400 is 4245031204.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 32729151744 + 369401390656 = 180912^2 + 607784^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752506 + ... + 1170694.

Almost surely, 2^402130542400 is an apocalyptic number.

402130542400 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 402130542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495570623030).

402130542400 is an abundant number, since it is smaller than the sum of its proper divisors (589010703660).

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

402130542400 is a wasteful number, since it uses less digits than its factorization.

402130542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418812 (or 418797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 402130542400 its reverse (4245031204), we get a palindrome (406375573604).

The spelling of 402130542400 in words is "four hundred two billion, one hundred thirty million, five hundred forty-two thousand, four hundred".