49944660480 has 1280 divisors, whose sum is σ = 216466145280. Its totient is φ = 10749542400.

The previous prime is 49944660443. The next prime is 49944660481. The reversal of 49944660480 is 8406644994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×49944660480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49944660481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306408879 + ... + 306409041.

It is an arithmetic number, because the mean of its divisors is an integer number (169114176).

Almost surely, 2^49944660480 is an apocalyptic number.

49944660480 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 49944660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108233072640).

49944660480 is an abundant number, since it is smaller than the sum of its proper divisors (166521484800).

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

49944660480 is a wasteful number, since it uses less digits than its factorization.

49944660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49944660480 in words is "forty-nine billion, nine hundred forty-four million, six hundred sixty thousand, four hundred eighty".