40420040400 has 180 divisors, whose sum is σ = 140352908332. Its totient is φ = 10772213760.

The previous prime is 40420040387. The next prime is 40420040407. The reversal of 40420040400 is 404002404.

It is a happy number.

40420040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1458017856 + 38962022544 = 38184^2 + 197388^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40420040407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10931352 + ... + 10935048.

Almost surely, 2^40420040400 is an apocalyptic number.

40420040400 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 40420040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70176454166).

40420040400 is an abundant number, since it is smaller than the sum of its proper divisors (99932867932).

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

40420040400 is a wasteful number, since it uses less digits than its factorization.

40420040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40420040400 its reverse (404002404), we get a palindrome (40824042804).

The spelling of 40420040400 in words is "forty billion, four hundred twenty million, forty thousand, four hundred".