49057481400 has 384 divisors, whose sum is σ = 169806274560. Its totient is φ = 11658240000.

The previous prime is 49057481399. The next prime is 49057481401. The reversal of 49057481400 is 418475094.

It is an interprime number because it is at equal distance from previous prime (49057481399) and next prime (49057481401).

It is a super-2 number, since 2×49057481400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49057481401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14859750 + ... + 14863050.

It is an arithmetic number, because the mean of its divisors is an integer number (442203840).

Almost surely, 2^49057481400 is an apocalyptic number.

49057481400 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 49057481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84903137280).

49057481400 is an abundant number, since it is smaller than the sum of its proper divisors (120748793160).

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

49057481400 is a wasteful number, since it uses less digits than its factorization.

49057481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 49057481400 in words is "forty-nine billion, fifty-seven million, four hundred eighty-one thousand, four hundred".