49128251040 has 288 divisors, whose sum is σ = 193650440256. Its totient is φ = 11209236480.

The previous prime is 49128251017. The next prime is 49128251041. The reversal of 49128251040 is 4015282194.

49128251040 is a `hidden beast` number, since 491 + 2 + 82 + 51 + 0 + 40 = 666.

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

It is a super-2 number, since 2×49128251040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49128250986 and 49128251004.

It is not an unprimeable number, because it can be changed into a prime (49128251041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178059 + ... + 360501.

It is an arithmetic number, because the mean of its divisors is an integer number (672397362).

Almost surely, 2^49128251040 is an apocalyptic number.

49128251040 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 49128251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96825220128).

49128251040 is an abundant number, since it is smaller than the sum of its proper divisors (144522189216).

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

49128251040 is a wasteful number, since it uses less digits than its factorization.

49128251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182492 (or 182481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 49128251040 in words is "forty-nine billion, one hundred twenty-eight million, two hundred fifty-one thousand, forty".