400420420000 has 60 divisors (see below), whose sum is σ = 985094345466. Its totient is φ = 160168160000.

The previous prime is 400420419989. The next prime is 400420420007. The reversal of 400420420000 is 24024004.

It can be written as a sum of positive squares in 5 ways, for example, as 17452523664 + 382967896336 = 132108^2 + 618844^2 .

It is a super-3 number, since 3×400420420000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (400420420007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9990511 + ... + 10030510.

Almost surely, 2^400420420000 is an apocalyptic number.

400420420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400420420000 is an abundant number, since it is smaller than the sum of its proper divisors (584673925466).

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

400420420000 is an equidigital number, since it uses as much as digits as its factorization.

400420420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021051 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 400420420000 its reverse (24024004), we get a palindrome (400444444004).

It can be divided in two parts, 4004204 and 20000, that added together give a palindrome (4024204).

The spelling of 400420420000 in words is "four hundred billion, four hundred twenty million, four hundred twenty thousand".