2401412400 has 240 divisors, whose sum is σ = 8747713920. Its totient is φ = 625363200.

The previous prime is 2401412399. The next prime is 2401412411. The reversal of 2401412400 is 42141042.

2401412400 is a `hidden beast` number, since 240 + 14 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 461815 + ... + 466985.

It is an arithmetic number, because the mean of its divisors is an integer number (36448808).

Almost surely, 2^2401412400 is an apocalyptic number.

2401412400 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 2401412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373856960).

2401412400 is an abundant number, since it is smaller than the sum of its proper divisors (6346301520).

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

2401412400 is a wasteful number, since it uses less digits than its factorization.

2401412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2401412400 is about 49004.2079825804. The cubic root of 2401412400 is about 1339.1284895205.

Adding to 2401412400 its reverse (42141042), we get a palindrome (2443553442).

The spelling of 2401412400 in words is "two billion, four hundred one million, four hundred twelve thousand, four hundred".