49781417400 has 1728 divisors, whose sum is σ = 223016976000. Its totient is φ = 10189670400.

The previous prime is 49781417303. The next prime is 49781417437. The reversal of 49781417400 is 471418794.

It is a happy number.

49781417400 is a `hidden beast` number, since 497 + 81 + 41 + 7 + 40 + 0 = 666.

49781417400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1716600586 + ... + 1716600614.

It is an arithmetic number, because the mean of its divisors is an integer number (129060750).

Almost surely, 2^49781417400 is an apocalyptic number.

49781417400 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 49781417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111508488000).

49781417400 is an abundant number, since it is smaller than the sum of its proper divisors (173235558600).

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

49781417400 is a wasteful number, since it uses less digits than its factorization.

49781417400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 49781417400 in words is "forty-nine billion, seven hundred eighty-one million, four hundred seventeen thousand, four hundred".