49459911017400 has 960 divisors, whose sum is σ = 196204596477120. Its totient is φ = 11454433689600.

The previous prime is 49459911017333. The next prime is 49459911017441. The reversal of 49459911017400 is 471011995494.

It is a happy number.

49459911017400 is a `hidden beast` number, since 4 + 9 + 4 + 599 + 1 + 1 + 0 + 1 + 7 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 295388104 + ... + 295555496.

It is an arithmetic number, because the mean of its divisors is an integer number (204379787997).

Almost surely, 2^{49459911017400} is an apocalyptic number.

49459911017400 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 49459911017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98102298238560).

49459911017400 is an abundant number, since it is smaller than the sum of its proper divisors (146744685459720).

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

49459911017400 is a wasteful number, since it uses less digits than its factorization.

49459911017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167518 (or 167500 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 49459911017400 in words is "forty-nine trillion, four hundred fifty-nine billion, nine hundred eleven million, seventeen thousand, four hundred".