40202134400 has 48 divisors (see below), whose sum is σ = 99311843040. Its totient is φ = 16080852480.

The previous prime is 40202134391. The next prime is 40202134403. The reversal of 40202134400 is 443120204.

It is a super-2 number, since 2×40202134400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40202134403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6278384 + ... + 6284783.

It is an arithmetic number, because the mean of its divisors is an integer number (2068996730).

Almost surely, 2^40202134400 is an apocalyptic number.

40202134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40202134400 is an abundant number, since it is smaller than the sum of its proper divisors (59109708640).

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

40202134400 is a wasteful number, since it uses less digits than its factorization.

40202134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563191 (or 12563174 counting only the distinct ones).

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

Adding to 40202134400 its reverse (443120204), we get a palindrome (40645254604).

The spelling of 40202134400 in words is "forty billion, two hundred two million, one hundred thirty-four thousand, four hundred".