2041414004400 has 240 divisors, whose sum is σ = 6690405120000. Its totient is φ = 531942727680.

The previous prime is 2041414004387. The next prime is 2041414004437. The reversal of 2041414004400 is 44004141402.

It is a happy number.

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

It is a super-2 number, since 2×2041414004400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9084601 + ... + 9306599.

It is an arithmetic number, because the mean of its divisors is an integer number (27876688000).

Almost surely, 2^{2041414004400} is an apocalyptic number.

2041414004400 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 2041414004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345202560000).

2041414004400 is an abundant number, since it is smaller than the sum of its proper divisors (4648991115600).

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

2041414004400 is a wasteful number, since it uses less digits than its factorization.

2041414004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222196 (or 222185 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2041414004400 its reverse (44004141402), we get a palindrome (2085418145802).

The spelling of 2041414004400 in words is "two trillion, forty-one billion, four hundred fourteen million, four thousand, four hundred".