49756019040 has 1440 divisors, whose sum is σ = 226612372896. Its totient is φ = 10241925120.

The previous prime is 49756019029. The next prime is 49756019099. The reversal of 49756019040 is 4091065794.

49756019040 is a `hidden beast` number, since 49 + 7 + 560 + 1 + 9 + 0 + 40 = 666.

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

It is a super-2 number, since 2×49756019040² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1213561420 + ... + 1213561460.

Almost surely, 2^49756019040 is an apocalyptic number.

49756019040 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 49756019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113306186448).

49756019040 is an abundant number, since it is smaller than the sum of its proper divisors (176856353856).

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

49756019040 is an equidigital number, since it uses as much as digits as its factorization.

49756019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 49756019040 in words is "forty-nine billion, seven hundred fifty-six million, nineteen thousand, forty".