49514250240 has 1280 divisors, whose sum is σ = 223808840640. Its totient is φ = 10192158720.

The previous prime is 49514250239. The next prime is 49514250259. The reversal of 49514250240 is 4205241594.

It is a happy number.

49514250240 is a `hidden beast` number, since 4 + 9 + 5 + 142 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 49514250195 and 49514250204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1207664620 + ... + 1207664660.

Almost surely, 2^49514250240 is an apocalyptic number.

49514250240 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 49514250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111904420320).

49514250240 is an abundant number, since it is smaller than the sum of its proper divisors (174294590400).

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

49514250240 is an equidigital number, since it uses as much as digits as its factorization.

49514250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 49514250240 in words is "forty-nine billion, five hundred fourteen million, two hundred fifty thousand, two hundred forty".