2034413040400 has 120 divisors (see below), whose sum is σ = 5283669948480. Its totient is φ = 748311237120.

The previous prime is 2034413040397. The next prime is 2034413040427. The reversal of 2034413040400 is 40403144302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623811 + ... + 2111389.

It is an arithmetic number, because the mean of its divisors is an integer number (44030582904).

Almost surely, 2^{2034413040400} is an apocalyptic number.

2034413040400 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 2034413040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641834974240).

2034413040400 is an abundant number, since it is smaller than the sum of its proper divisors (3249256908080).

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

2034413040400 is a wasteful number, since it uses less digits than its factorization.

2034413040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487873 (or 1487862 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2034413040400 its reverse (40403144302), we get a palindrome (2074816184702).

The spelling of 2034413040400 in words is "two trillion, thirty-four billion, four hundred thirteen million, forty thousand, four hundred".