49102310400 has 1056 divisors, whose sum is σ = 202640030208. Its totient is φ = 10302259200.

The previous prime is 49102310377. The next prime is 49102310419. The reversal of 49102310400 is 401320194.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-4 number, since 4×49102310400⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 186700669 + ... + 186700931.

It is an arithmetic number, because the mean of its divisors is an integer number (191893968).

Almost surely, 2^49102310400 is an apocalyptic number.

49102310400 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 49102310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101320015104).

49102310400 is an abundant number, since it is smaller than the sum of its proper divisors (153537719808).

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

49102310400 is a wasteful number, since it uses less digits than its factorization.

49102310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 49102310400 its reverse (401320194), we get a palindrome (49503630594).

The spelling of 49102310400 in words is "forty-nine billion, one hundred two million, three hundred ten thousand, four hundred".