49147862400 has 2304 divisors, whose sum is σ = 242234496000. Its totient is φ = 9614868480.

The previous prime is 49147862333. The next prime is 49147862431. The reversal of 49147862400 is 426874194.

49147862400 is a `hidden beast` number, since 4 + 9 + 14 + 7 + 8 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1045699177 + ... + 1045699223.

It is an arithmetic number, because the mean of its divisors is an integer number (105136500).

Almost surely, 2^49147862400 is an apocalyptic number.

49147862400 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 49147862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121117248000).

49147862400 is an abundant number, since it is smaller than the sum of its proper divisors (193086633600).

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

49147862400 is a wasteful number, since it uses less digits than its factorization.

49147862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 491478 and 62400, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 49147862400 in words is "forty-nine billion, one hundred forty-seven million, eight hundred sixty-two thousand, four hundred".