48014778240 has 1536 divisors, whose sum is σ = 215568138240. Its totient is φ = 10032906240.

The previous prime is 48014778221. The next prime is 48014778263. The reversal of 48014778240 is 4287741084.

48014778240 is a `hidden beast` number, since 480 + 147 + 7 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378069057 + ... + 378069183.

It is an arithmetic number, because the mean of its divisors is an integer number (140343840).

Almost surely, 2^48014778240 is an apocalyptic number.

48014778240 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 48014778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107784069120).

48014778240 is an abundant number, since it is smaller than the sum of its proper divisors (167553360000).

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

48014778240 is a wasteful number, since it uses less digits than its factorization.

48014778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 48014778240 in words is "forty-eight billion, fourteen million, seven hundred seventy-eight thousand, two hundred forty".