2401414011200 has 252 divisors, whose sum is σ = 5997798004380. Its totient is φ = 946325667840.

The previous prime is 2401414011197. The next prime is 2401414011221. The reversal of 2401414011200 is 21104141042.

It can be written as a sum of positive squares in 6 ways, for example, as 365222000896 + 2036192010304 = 604336^2 + 1426952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6173300606 + ... + 6173300994.

Almost surely, 2^{2401414011200} is an apocalyptic number.

2401414011200 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 2401414011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998899002190).

2401414011200 is an abundant number, since it is smaller than the sum of its proper divisors (3596383993180).

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

2401414011200 is a wasteful number, since it uses less digits than its factorization.

2401414011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2401414011200 its reverse (21104141042), we get a palindrome (2422518152242).

The spelling of 2401414011200 in words is "two trillion, four hundred one billion, four hundred fourteen million, eleven thousand, two hundred".