48878870040 has 960 divisors, whose sum is σ = 224624806560. Its totient is φ = 9371013120.

The previous prime is 48878870039. The next prime is 48878870077. The reversal of 48878870040 is 4007887884.

It is a happy number.

It is a super-3 number, since 3×48878870040³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22701604 + ... + 22703756.

Almost surely, 2^48878870040 is an apocalyptic number.

48878870040 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 48878870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112312403280).

48878870040 is an abundant number, since it is smaller than the sum of its proper divisors (175745936520).

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

48878870040 is a wasteful number, since it uses less digits than its factorization.

48878870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 48878870040 in words is "forty-eight billion, eight hundred seventy-eight million, eight hundred seventy thousand, forty".