49380710400 has 1080 divisors, whose sum is σ = 213631678260. Its totient is φ = 11287019520.

The previous prime is 49380710377. The next prime is 49380710437. The reversal of 49380710400 is 401708394.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 7054387197 + ... + 7054387203.

Almost surely, 2^49380710400 is an apocalyptic number.

49380710400 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 49380710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106815839130).

49380710400 is an abundant number, since it is smaller than the sum of its proper divisors (164250967860).

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

49380710400 is an frugal number, since it uses more digits than its factorization.

49380710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 49380710400 in words is "forty-nine billion, three hundred eighty million, seven hundred ten thousand, four hundred".