49048070400 has 1728 divisors, whose sum is σ = 224825610240. Its totient is φ = 10218700800.

The previous prime is 49048070399. The next prime is 49048070413. The reversal of 49048070400 is 407084094.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 1140652779 + ... + 1140652821.

Almost surely, 2^49048070400 is an apocalyptic number.

49048070400 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 49048070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412805120).

49048070400 is an abundant number, since it is smaller than the sum of its proper divisors (175777539840).

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

49048070400 is a wasteful number, since it uses less digits than its factorization.

49048070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 49048070400 in words is "forty-nine billion, forty-eight million, seventy thousand, four hundred".