49310208000 has 1040 divisors, whose sum is σ = 194812778160. Its totient is φ = 12386304000.

The previous prime is 49310207963. The next prime is 49310208037. The reversal of 49310208000 is 80201394.

It is an interprime number because it is at equal distance from previous prime (49310207963) and next prime (49310208037).

It can be written as a sum of positive squares in 8 ways, for example, as 29068886016 + 20241321984 = 170496^2 + 142272^2 .

It is a super-2 number, since 2×49310208000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1202687980 + ... + 1202688020.

It is an arithmetic number, because the mean of its divisors is an integer number (187319979).

Almost surely, 2^49310208000 is an apocalyptic number.

49310208000 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 49310208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97406389080).

49310208000 is an abundant number, since it is smaller than the sum of its proper divisors (145502570160).

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

49310208000 is an equidigital number, since it uses as much as digits as its factorization.

49310208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 49310208000 its reverse (80201394), we get a palindrome (49390409394).

The spelling of 49310208000 in words is "forty-nine billion, three hundred ten million, two hundred eight thousand".