48724079040 has 1260 divisors, whose sum is σ = 219281066136. Its totient is φ = 10234957824.

The previous prime is 48724079039. The next prime is 48724079099. The reversal of 48724079040 is 4097042784.

48724079040 is a `hidden beast` number, since 487 + 2 + 40 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-3 number, since 3×48724079040³ (a number of 33 digits) contains 333 as substring.

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 179 ways as a sum of consecutive naturals, for example, 214643407 + ... + 214643633.

Almost surely, 2^48724079040 is an apocalyptic number.

48724079040 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 48724079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109640533068).

48724079040 is an abundant number, since it is smaller than the sum of its proper divisors (170556987096).

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

48724079040 is a wasteful number, since it uses less digits than its factorization.

48724079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 48724079040 in words is "forty-eight billion, seven hundred twenty-four million, seventy-nine thousand, forty".