2657121430400 has 48 divisors (see below), whose sum is σ = 6563920291440. Its totient is φ = 1062848570880.

The previous prime is 2657121430367. The next prime is 2657121430433. The reversal of 2657121430400 is 40341217562.

It is an interprime number because it is at equal distance from previous prime (2657121430367) and next prime (2657121430433).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 415172024 + ... + 415178423.

It is an arithmetic number, because the mean of its divisors is an integer number (136748339405).

Almost surely, 2^{2657121430400} is an apocalyptic number.

2657121430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2657121430400 is an abundant number, since it is smaller than the sum of its proper divisors (3906798861040).

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

2657121430400 is an equidigital number, since it uses as much as digits as its factorization.

2657121430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830350471 (or 830350454 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 2657121430400 its reverse (40341217562), we get a palindrome (2697462647962).

The spelling of 2657121430400 in words is "two trillion, six hundred fifty-seven billion, one hundred twenty-one million, four hundred thirty thousand, four hundred".