400444848400 has 60 divisors (see below), whose sum is σ = 964492477732. Its totient is φ = 159774405120.

The previous prime is 400444848383. The next prime is 400444848403. The reversal of 400444848400 is 4848444004.

It can be written as a sum of positive squares in 6 ways, for example, as 934891776 + 399509956624 = 30576^2 + 632068^2 .

It is a super-2 number, since 2×400444848400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (400444848403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102047 + ... + 1419646.

Almost surely, 2^400444848400 is an apocalyptic number.

400444848400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400444848400 is an abundant number, since it is smaller than the sum of its proper divisors (564047629332).

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

400444848400 is a wasteful number, since it uses less digits than its factorization.

400444848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522108 (or 2522097 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 400444848400 in words is "four hundred billion, four hundred forty-four million, eight hundred forty-eight thousand, four hundred".