30730238378400 has 576 divisors, whose sum is σ = 116942151223296. Its totient is φ = 6933256704000.

The previous prime is 30730238378351. The next prime is 30730238378407. The reversal of 30730238378400 is 487383203703.

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 30730238378400.

It is not an unprimeable number, because it can be changed into a prime (30730238378407) 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, 21782485 + ... + 23150315.

It is an arithmetic number, because the mean of its divisors is an integer number (203024568096).

Almost surely, 2^{30730238378400} is an apocalyptic number.

30730238378400 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 30730238378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58471075611648).

30730238378400 is an abundant number, since it is smaller than the sum of its proper divisors (86211912844896).

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

30730238378400 is a wasteful number, since it uses less digits than its factorization.

30730238378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367925 (or 1367912 counting only the distinct ones).

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

The spelling of 30730238378400 in words is "thirty trillion, seven hundred thirty billion, two hundred thirty-eight million, three hundred seventy-eight thousand, four hundred".