49105758240 has 576 divisors, whose sum is σ = 210926177280. Its totient is φ = 10105989120.

The previous prime is 49105758223. The next prime is 49105758257. The reversal of 49105758240 is 4285750194.

49105758240 is a `hidden beast` number, since 4 + 9 + 10 + 57 + 582 + 4 + 0 = 666.

49105758240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49105758223) and next prime (49105758257).

It is a super-2 number, since 2×49105758240² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11862091 + ... + 11866229.

It is an arithmetic number, because the mean of its divisors is an integer number (366191280).

Almost surely, 2^49105758240 is an apocalyptic number.

49105758240 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 49105758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105463088640).

49105758240 is an abundant number, since it is smaller than the sum of its proper divisors (161820419040).

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

49105758240 is a wasteful number, since it uses less digits than its factorization.

49105758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 49105758240 in words is "forty-nine billion, one hundred five million, seven hundred fifty-eight thousand, two hundred forty".