49801621458400 has 432 divisors, whose sum is σ = 144637782964416. Its totient is φ = 16688295751680.

The previous prime is 49801621458397. The next prime is 49801621458419. The reversal of 49801621458400 is 485412610894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350460762 + ... + 1350497638.

It is an arithmetic number, because the mean of its divisors is an integer number (334809682788).

Almost surely, 2^{49801621458400} is an apocalyptic number.

49801621458400 is a gapful number since it is divisible by the number (40) 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 49801621458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72318891482208).

49801621458400 is an abundant number, since it is smaller than the sum of its proper divisors (94836161506016).

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

49801621458400 is a wasteful number, since it uses less digits than its factorization.

49801621458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37691 (or 37671 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 49801621458400 in words is "forty-nine trillion, eight hundred one billion, six hundred twenty-one million, four hundred fifty-eight thousand, four hundred".