48380414054800 has 60 divisors (see below), whose sum is σ = 116273070458416. Its totient is φ = 19345651459200.

The previous prime is 48380414054747. The next prime is 48380414054801. The reversal of 48380414054800 is 845041408384.

It is a happy number.

It is a super-2 number, since 2×48380414054800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48380414054801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19166874 + ... + 21543673.

Almost surely, 2^{48380414054800} is an apocalyptic number.

48380414054800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48380414054800 is an abundant number, since it is smaller than the sum of its proper divisors (67892656403616).

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

48380414054800 is a wasteful number, since it uses less digits than its factorization.

48380414054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40713536 (or 40713525 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

The spelling of 48380414054800 in words is "forty-eight trillion, three hundred eighty billion, four hundred fourteen million, fifty-four thousand, eight hundred".