49563446400 has 576 divisors, whose sum is σ = 197552147520. Its totient is φ = 12197744640.

The previous prime is 49563446393. The next prime is 49563446441. The reversal of 49563446400 is 464436594.

49563446400 is a `hidden beast` number, since 4 + 9 + 5 + 634 + 4 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10106349 + ... + 10111251.

Almost surely, 2^49563446400 is an apocalyptic number.

49563446400 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 49563446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98776073760).

49563446400 is an abundant number, since it is smaller than the sum of its proper divisors (147988701120).

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

49563446400 is a wasteful number, since it uses less digits than its factorization.

49563446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 49563446400 in words is "forty-nine billion, five hundred sixty-three million, four hundred forty-six thousand, four hundred".