48181205030400 has 1920 divisors, whose sum is σ = 202437464423040. Its totient is φ = 11119078932480.

The previous prime is 48181205030369. The next prime is 48181205030471. The reversal of 48181205030400 is 403050218184.

48181205030400 is a `hidden beast` number, since 4 + 8 + 18 + 1 + 205 + 0 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22378635724 + ... + 22378637876.

It is an arithmetic number, because the mean of its divisors is an integer number (105436179387).

Almost surely, 2^{48181205030400} is an apocalyptic number.

48181205030400 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 48181205030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101218732211520).

48181205030400 is an abundant number, since it is smaller than the sum of its proper divisors (154256259392640).

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

48181205030400 is a wasteful number, since it uses less digits than its factorization.

48181205030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 48181205030400 its reverse (403050218184), we get a palindrome (48584255248584).

The spelling of 48181205030400 in words is "forty-eight trillion, one hundred eighty-one billion, two hundred five million, thirty thousand, four hundred".