49752138240 has 720 divisors, whose sum is σ = 202597604352. Its totient is φ = 11249860608.

The previous prime is 49752138197. The next prime is 49752138287. The reversal of 49752138240 is 4283125794.

49752138240 is a `hidden beast` number, since 4 + 9 + 7 + 521 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143377747 + ... + 143378093.

Almost surely, 2^49752138240 is an apocalyptic number.

49752138240 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 49752138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101298802176).

49752138240 is an abundant number, since it is smaller than the sum of its proper divisors (152845466112).

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

49752138240 is a wasteful number, since it uses less digits than its factorization.

49752138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 49752138240 in words is "forty-nine billion, seven hundred fifty-two million, one hundred thirty-eight thousand, two hundred forty".