42032010400 has 144 divisors (see below), whose sum is σ = 110698399224. Its totient is φ = 15524986880.

The previous prime is 42032010373. The next prime is 42032010407. The reversal of 42032010400 is 401023024.

It can be written as a sum of positive squares in 12 ways, for example, as 14368337424 + 27663672976 = 119868^2 + 166324^2 .

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 (42032010407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691644 + ... + 749956.

Almost surely, 2^42032010400 is an apocalyptic number.

42032010400 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 42032010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55349199612).

42032010400 is an abundant number, since it is smaller than the sum of its proper divisors (68666388824).

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

42032010400 is a wasteful number, since it uses less digits than its factorization.

42032010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58403 (or 58390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42032010400 its reverse (401023024), we get a palindrome (42433033424).

The spelling of 42032010400 in words is "forty-two billion, thirty-two million, ten thousand, four hundred".