49410187200 has 1008 divisors, whose sum is σ = 206951397120. Its totient is φ = 11046912000.

The previous prime is 49410187171. The next prime is 49410187219. The reversal of 49410187200 is 278101494.

49410187200 is a `hidden beast` number, since 49 + 410 + 187 + 20 + 0 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158875045 + ... + 158875355.

Almost surely, 2^49410187200 is an apocalyptic number.

49410187200 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 49410187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475698560).

49410187200 is an abundant number, since it is smaller than the sum of its proper divisors (157541209920).

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

49410187200 is a wasteful number, since it uses less digits than its factorization.

49410187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 49410187200 its reverse (278101494), we get a palindrome (49688288694).

The spelling of 49410187200 in words is "forty-nine billion, four hundred ten million, one hundred eighty-seven thousand, two hundred".