2351142300400 has 240 divisors, whose sum is σ = 6050480601600. Its totient is φ = 875325312000.

The previous prime is 2351142300379. The next prime is 2351142300401. The reversal of 2351142300400 is 40032411532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2351142300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477969141 + ... + 477974059.

It is an arithmetic number, because the mean of its divisors is an integer number (25210335840).

Almost surely, 2^{2351142300400} is an apocalyptic number.

2351142300400 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 2351142300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025240300800).

2351142300400 is an abundant number, since it is smaller than the sum of its proper divisors (3699338301200).

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

2351142300400 is a wasteful number, since it uses less digits than its factorization.

2351142300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2351142300400 its reverse (40032411532), we get a palindrome (2391174711932).

The spelling of 2351142300400 in words is "two trillion, three hundred fifty-one billion, one hundred forty-two million, three hundred thousand, four hundred".