48629278310400 has 684 divisors, whose sum is σ = 178916701033512. Its totient is φ = 12616760033280.

The previous prime is 48629278310387. The next prime is 48629278310443. The reversal of 48629278310400 is 401387292684.

48629278310400 is a `hidden beast` number, since 4 + 8 + 62 + 92 + 7 + 83 + 10 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2182337659 + ... + 2182359941.

It is an arithmetic number, because the mean of its divisors is an integer number (261574124318).

Almost surely, 2^{48629278310400} is an apocalyptic number.

48629278310400 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 48629278310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89458350516756).

48629278310400 is an abundant number, since it is smaller than the sum of its proper divisors (130287422723112).

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

48629278310400 is an equidigital number, since it uses as much as digits as its factorization.

48629278310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372 (or 22330 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48629278310400 in words is "forty-eight trillion, six hundred twenty-nine billion, two hundred seventy-eight million, three hundred ten thousand, four hundred".