49067366400 has 432 divisors, whose sum is σ = 189267886080. Its totient is φ = 12076646400.

The previous prime is 49067366371. The next prime is 49067366417. The reversal of 49067366400 is 466376094.

49067366400 is a `hidden beast` number, since 490 + 67 + 3 + 66 + 40 + 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5986305 + ... + 5994495.

Almost surely, 2^49067366400 is an apocalyptic number.

49067366400 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 49067366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94633943040).

49067366400 is an abundant number, since it is smaller than the sum of its proper divisors (140200519680).

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

49067366400 is a wasteful number, since it uses less digits than its factorization.

49067366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 49067366400 in words is "forty-nine billion, sixty-seven million, three hundred sixty-six thousand, four hundred".