48406410000 has 500 divisors, whose sum is σ = 188579769532. Its totient is φ = 11912832000.

The previous prime is 48406409941. The next prime is 48406410043. The reversal of 48406410000 is 1460484.

It can be written as a sum of positive squares in 10 ways, for example, as 48287425536 + 118984464 = 219744^2 + 10908^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 99 ways as a sum of consecutive naturals, for example, 10527702 + ... + 10532298.

Almost surely, 2^48406410000 is an apocalyptic number.

48406410000 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 48406410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94289884766).

48406410000 is an abundant number, since it is smaller than the sum of its proper divisors (140173359532).

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

48406410000 is a wasteful number, since it uses less digits than its factorization.

48406410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 48406410000 its reverse (1460484), we get a palindrome (48407870484).

The spelling of 48406410000 in words is "forty-eight billion, four hundred six million, four hundred ten thousand".