2034131141400 has 96 divisors (see below), whose sum is σ = 6306558028560. Its totient is φ = 542370327040.

The previous prime is 2034131141381. The next prime is 2034131141401. The reversal of 2034131141400 is 41411314302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034131141401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4946074 + ... + 5341526.

Almost surely, 2^{2034131141400} is an apocalyptic number.

2034131141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034131141400 is an abundant number, since it is smaller than the sum of its proper divisors (4272426887160).

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

2034131141400 is a wasteful number, since it uses less digits than its factorization.

2034131141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404045 (or 404036 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2034131141400 its reverse (41411314302), we get a palindrome (2075542455702).

The spelling of 2034131141400 in words is "two trillion, thirty-four billion, one hundred thirty-one million, one hundred forty-one thousand, four hundred".