49286424938400 has 864 divisors, whose sum is σ = 199845117343872. Its totient is φ = 11334668083200.

The previous prime is 49286424938353. The next prime is 49286424938453. The reversal of 49286424938400 is 483942468294.

49286424938400 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 6 + 4 + 249 + 384 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92304190 + ... + 92836610.

It is an arithmetic number, because the mean of its divisors is an integer number (231302219148).

Almost surely, 2^{49286424938400} is an apocalyptic number.

49286424938400 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 49286424938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99922558671936).

49286424938400 is an abundant number, since it is smaller than the sum of its proper divisors (150558692405472).

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

49286424938400 is a wasteful number, since it uses less digits than its factorization.

49286424938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532526 (or 532510 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 49286424938400 in words is "forty-nine trillion, two hundred eighty-six billion, four hundred twenty-four million, nine hundred thirty-eight thousand, four hundred".