402010140100 has 72 divisors (see below), whose sum is σ = 923804888328. Its totient is φ = 151324108800.

The previous prime is 402010140053. The next prime is 402010140101. The reversal of 402010140100 is 1041010204.

It can be written as a sum of positive squares in 12 ways, for example, as 145441551424 + 256568588676 = 381368^2 + 506526^2 .

It is a super-2 number, since 2×402010140100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402010140101) 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, 18452814 + ... + 18474586.

It is an arithmetic number, because the mean of its divisors is an integer number (12830623449).

Almost surely, 2^402010140100 is an apocalyptic number.

It is an amenable number.

402010140100 is an abundant number, since it is smaller than the sum of its proper divisors (521794748228).

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

402010140100 is a wasteful number, since it uses less digits than its factorization.

402010140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32665 (or 32658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 402010140100 its reverse (1041010204), we get a palindrome (403051150304).

The spelling of 402010140100 in words is "four hundred two billion, ten million, one hundred forty thousand, one hundred".