49595384084400 has 4320 divisors, whose sum is σ = 234289204531200. Its totient is φ = 9958443264000.

The previous prime is 49595384084377. The next prime is 49595384084429. The reversal of 49595384084400 is 448048359594.

49595384084400 is a `hidden beast` number, since 4 + 9 + 59 + 538 + 4 + 0 + 8 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 249223035501 + ... + 249223035699.

It is an arithmetic number, because the mean of its divisors is an integer number (54233612160).

Almost surely, 2^{49595384084400} is an apocalyptic number.

49595384084400 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 49595384084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117144602265600).

49595384084400 is an abundant number, since it is smaller than the sum of its proper divisors (184693820446800).

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

49595384084400 is a wasteful number, since it uses less digits than its factorization.

49595384084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 49595384084400 in words is "forty-nine trillion, five hundred ninety-five billion, three hundred eighty-four million, eighty-four thousand, four hundred".