48041510400 has 1440 divisors, whose sum is σ = 207179760480. Its totient is φ = 10829168640.

The previous prime is 48041510389. The next prime is 48041510401. The reversal of 48041510400 is 401514084.

It is a happy number.

48041510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48041510401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1298419182 + ... + 1298419218.

Almost surely, 2^48041510400 is an apocalyptic number.

48041510400 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 48041510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103589880240).

48041510400 is an abundant number, since it is smaller than the sum of its proper divisors (159138250080).

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

48041510400 is a wasteful number, since it uses less digits than its factorization.

48041510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 48041510400 in words is "forty-eight billion, forty-one million, five hundred ten thousand, four hundred".