407898000000 has 1344 divisors, whose sum is σ = 1640903996160. Its totient is φ = 96768000000.

The previous prime is 407897999941. The next prime is 407898000001. The reversal of 407898000000 is 898704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (407898000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9485999979 + ... + 9486000021.

Almost surely, 2^407898000000 is an apocalyptic number.

407898000000 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 407898000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820451998080).

407898000000 is an abundant number, since it is smaller than the sum of its proper divisors (1233005996160).

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

407898000000 is an equidigital number, since it uses as much as digits as its factorization.

407898000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 407898000000 its reverse (898704), we get a palindrome (407898898704).

The spelling of 407898000000 in words is "four hundred seven billion, eight hundred ninety-eight million", and thus it is an aban number.