50040430387200 has 1680 divisors, whose sum is σ = 211035224416896. Its totient is φ = 11602604851200.

The previous prime is 50040430387183. The next prime is 50040430387231. The reversal of 50040430387200 is 278303404005.

It is a happy number.

50040430387200 is a `hidden beast` number, since 5 + 0 + 0 + 40 + 4 + 30 + 387 + 200 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 4196960439 + ... + 4196972361.

Almost surely, 2^{50040430387200} is an apocalyptic number.

50040430387200 is a gapful number since it is divisible by the number (50) 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 50040430387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105517612208448).

50040430387200 is an abundant number, since it is smaller than the sum of its proper divisors (160994794029696).

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

50040430387200 is a wasteful number, since it uses less digits than its factorization.

50040430387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 50040430387200 in words is "fifty trillion, forty billion, four hundred thirty million, three hundred eighty-seven thousand, two hundred".