30380733782400 has 768 divisors, whose sum is σ = 114126324019200. Its totient is φ = 7058148556800.

The previous prime is 30380733782381. The next prime is 30380733782401. The reversal of 30380733782400 is 428733708303.

It is a super-2 number, since 2×30380733782400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30380733782400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30380733782401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116231056 + ... + 116492144.

It is an arithmetic number, because the mean of its divisors is an integer number (148601984400).

Almost surely, 2^{30380733782400} is an apocalyptic number.

30380733782400 is a gapful number since it is divisible by the number (30) 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 30380733782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57063162009600).

30380733782400 is an abundant number, since it is smaller than the sum of its proper divisors (83745590236800).

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

30380733782400 is a wasteful number, since it uses less digits than its factorization.

30380733782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261187 (or 261170 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 30380733782400 in words is "thirty trillion, three hundred eighty billion, seven hundred thirty-three million, seven hundred eighty-two thousand, four hundred".