49287170400 has 1152 divisors, whose sum is σ = 195287500800. Its totient is φ = 10683187200.

The previous prime is 49287170399. The next prime is 49287170411. The reversal of 49287170400 is 407178294.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 807986370 + ... + 807986430.

It is an arithmetic number, because the mean of its divisors is an integer number (169520400).

Almost surely, 2^49287170400 is an apocalyptic number.

49287170400 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 49287170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97643750400).

49287170400 is an abundant number, since it is smaller than the sum of its proper divisors (146000330400).

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

49287170400 is a wasteful number, since it uses less digits than its factorization.

49287170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 49287170400 in words is "forty-nine billion, two hundred eighty-seven million, one hundred seventy thousand, four hundred".