49683515040 has 288 divisors, whose sum is σ = 171467150400. Its totient is φ = 13099622400.

The previous prime is 49683515039. The next prime is 49683515059. The reversal of 49683515040 is 4051538694.

49683515040 is a `hidden beast` number, since 4 + 96 + 8 + 3 + 51 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 80263851 + ... + 80264469.

It is an arithmetic number, because the mean of its divisors is an integer number (595372050).

Almost surely, 2^49683515040 is an apocalyptic number.

49683515040 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 49683515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85733575200).

49683515040 is an abundant number, since it is smaller than the sum of its proper divisors (121783635360).

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

49683515040 is a wasteful number, since it uses less digits than its factorization.

49683515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 49683515040 in words is "forty-nine billion, six hundred eighty-three million, five hundred fifteen thousand, forty".