400250000000 has 160 divisors (see below), whose sum is σ = 997338765060. Its totient is φ = 160000000000.

The previous prime is 400249999997. The next prime is 400250000023. The reversal of 400250000000 is 52004.

It can be written as a sum of positive squares in 10 ways, for example, as 371602406464 + 28647593536 = 609592^2 + 169256^2 .

It is a sliding number, since 400250000000 = 250000000 + 400000000000 and 1/250000000 + 1/400000000000 = 0.00000000400250000000.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249999200 + ... + 250000800.

Almost surely, 2^400250000000 is an apocalyptic number.

400250000000 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 400250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498669382530).

400250000000 is an abundant number, since it is smaller than the sum of its proper divisors (597088765060).

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

400250000000 is an frugal number, since it uses more digits than its factorization.

400250000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 400250000000 its reverse (52004), we get a palindrome (400250052004).

It can be divided in two parts, 400 and 250000000, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 400250000000 in words is "four hundred billion, two hundred fifty million", and thus it is an aban number.