402134040400 has 120 divisors (see below), whose sum is σ = 969926536800. Its totient is φ = 160222272000.

The previous prime is 402134040397. The next prime is 402134040433. The reversal of 402134040400 is 4040431204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163534371 + ... + 163536829.

It is an arithmetic number, because the mean of its divisors is an integer number (8082721140).

Almost surely, 2^402134040400 is an apocalyptic number.

402134040400 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 402134040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484963268400).

402134040400 is an abundant number, since it is smaller than the sum of its proper divisors (567792496400).

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

402134040400 is a wasteful number, since it uses less digits than its factorization.

402134040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 402134040400 its reverse (4040431204), we get a palindrome (406174471604).

The spelling of 402134040400 in words is "four hundred two billion, one hundred thirty-four million, forty thousand, four hundred".