49301352938880 has 3072 divisors, whose sum is σ = 215392164249600. Its totient is φ = 10138586185728.

The previous prime is 49301352938879. The next prime is 49301352938911. The reversal of 49301352938880 is 8883925310394.

49301352938880 is a `hidden beast` number, since 4 + 9 + 301 + 35 + 293 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×49301352938880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 388199629377 + ... + 388199629503.

It is an arithmetic number, because the mean of its divisors is an integer number (70114636800).

Almost surely, 2^{49301352938880} is an apocalyptic number.

49301352938880 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 49301352938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107696082124800).

49301352938880 is an abundant number, since it is smaller than the sum of its proper divisors (166090811310720).

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

49301352938880 is a wasteful number, since it uses less digits than its factorization.

49301352938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49301352938880 in words is "forty-nine trillion, three hundred one billion, three hundred fifty-two million, nine hundred thirty-eight thousand, eight hundred eighty".