49745785098240 has 2080 divisors, whose sum is σ = 223602253332480. Its totient is φ = 10277624217600.

The previous prime is 49745785098151. The next prime is 49745785098259. The reversal of 49745785098240 is 4289058754794.

It is a happy number.

49745785098240 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 5 + 78 + 509 + 8 + 2 + 40 = 666.

It is a super-3 number, since 3×49745785098240³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24397147141 + ... + 24397149179.

Almost surely, 2^{49745785098240} is an apocalyptic number.

49745785098240 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 49745785098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111801126666240).

49745785098240 is an abundant number, since it is smaller than the sum of its proper divisors (173856468234240).

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

49745785098240 is a wasteful number, since it uses less digits than its factorization.

49745785098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 49745785098240 in words is "forty-nine trillion, seven hundred forty-five billion, seven hundred eighty-five million, ninety-eight thousand, two hundred forty".