49562029440 has 768 divisors, whose sum is σ = 219985113600. Its totient is φ = 10245242880.

The previous prime is 49562029421. The next prime is 49562029441. The reversal of 49562029440 is 4492026594.

49562029440 is a `hidden beast` number, since 49 + 562 + 0 + 2 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×49562029440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49562029441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256797984 + ... + 256798176.

It is an arithmetic number, because the mean of its divisors is an integer number (286438950).

Almost surely, 2^49562029440 is an apocalyptic number.

49562029440 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 49562029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992556800).

49562029440 is an abundant number, since it is smaller than the sum of its proper divisors (170423084160).

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

49562029440 is a wasteful number, since it uses less digits than its factorization.

49562029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49562029440 in words is "forty-nine billion, five hundred sixty-two million, twenty-nine thousand, four hundred forty".