2401412000 has 96 divisors (see below), whose sum is σ = 6354273744. Its totient is φ = 886656000.

The previous prime is 2401411997. The next prime is 2401412009. The reversal of 2401412000 is 2141042.

It can be written as a sum of positive squares in 8 ways, for example, as 48385936 + 2353026064 = 6956^2 + 48508^2 .

It is not an unprimeable number, because it can be changed into a prime (2401412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28910 + ... + 75090.

Almost surely, 2^2401412000 is an apocalyptic number.

2401412000 is a gapful number since it is divisible by the number (20) 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 2401412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177136872).

2401412000 is an abundant number, since it is smaller than the sum of its proper divisors (3952861744).

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

2401412000 is a wasteful number, since it uses less digits than its factorization.

2401412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46219 (or 46201 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2401412000 is about 49004.2039012981. The cubic root of 2401412000 is about 1339.1284151683.

Adding to 2401412000 its reverse (2141042), we get a palindrome (2403553042).

The spelling of 2401412000 in words is "two billion, four hundred one million, four hundred twelve thousand".