49941326054400 has 528 divisors, whose sum is σ = 180701152267008. Its totient is φ = 12064149504000.

The previous prime is 49941326054387. The next prime is 49941326054413. The reversal of 49941326054400 is 445062314994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49941326054387) and next prime (49941326054413).

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238973955 + ... + 239182845.

Almost surely, 2^{49941326054400} is an apocalyptic number.

49941326054400 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 49941326054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90350576133504).

49941326054400 is an abundant number, since it is smaller than the sum of its proper divisors (130759826212608).

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

49941326054400 is a wasteful number, since it uses less digits than its factorization.

49941326054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209218 (or 209195 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 49941326054400 in words is "forty-nine trillion, nine hundred forty-one billion, three hundred twenty-six million, fifty-four thousand, four hundred".