49524733440 has 1440 divisors, whose sum is σ = 224291358720. Its totient is φ = 9868345344.

The previous prime is 49524733411. The next prime is 49524733471. The reversal of 49524733440 is 4433742594.

49524733440 is a `hidden beast` number, since 495 + 24 + 73 + 34 + 40 = 666.

49524733440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 626895321 + ... + 626895399.

It is an arithmetic number, because the mean of its divisors is an integer number (155757888).

Almost surely, 2^49524733440 is an apocalyptic number.

49524733440 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 49524733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112145679360).

49524733440 is an abundant number, since it is smaller than the sum of its proper divisors (174766625280).

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

49524733440 is a wasteful number, since it uses less digits than its factorization.

49524733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 49524733440 in words is "forty-nine billion, five hundred twenty-four million, seven hundred thirty-three thousand, four hundred forty".