49158125475840 has 1536 divisors, whose sum is σ = 181533381120000. Its totient is φ = 12612796416000.

The previous prime is 49158125475817. The next prime is 49158125475847. The reversal of 49158125475840 is 4857452185194.

49158125475840 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 8 + 1 + 2 + 5 + 47 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×49158125475840³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49158125475847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247025756061 + ... + 247025756259.

It is an arithmetic number, because the mean of its divisors is an integer number (118185795000).

Almost surely, 2^{49158125475840} is an apocalyptic number.

49158125475840 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 49158125475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90766690560000).

49158125475840 is an abundant number, since it is smaller than the sum of its proper divisors (132375255644160).

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

49158125475840 is a wasteful number, since it uses less digits than its factorization.

49158125475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 49158125475840 in words is "forty-nine trillion, one hundred fifty-eight billion, one hundred twenty-five million, four hundred seventy-five thousand, eight hundred forty".