2141559398400 has 336 divisors, whose sum is σ = 7151306894208. Its totient is φ = 565411840000.

The previous prime is 2141559398399. The next prime is 2141559398411. The reversal of 2141559398400 is 48939551412.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62037145 + ... + 62071655.

Almost surely, 2^{2141559398400} is an apocalyptic number.

2141559398400 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 2141559398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575653447104).

2141559398400 is an abundant number, since it is smaller than the sum of its proper divisors (5009747495808).

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

2141559398400 is a wasteful number, since it uses less digits than its factorization.

2141559398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34651 (or 34622 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2141559398400 in words is "two trillion, one hundred forty-one billion, five hundred fifty-nine million, three hundred ninety-eight thousand, four hundred".