60390842400 has 864 divisors, whose sum is σ = 258553451520. Its totient is φ = 12964976640.

The previous prime is 60390842321. The next prime is 60390842417. The reversal of 60390842400 is 424809306.

It is a happy number.

60390842400 is a `hidden beast` number, since 603 + 9 + 0 + 8 + 4 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68392359 + ... + 68393241.

It is an arithmetic number, because the mean of its divisors is an integer number (299251680).

Almost surely, 2^60390842400 is an apocalyptic number.

60390842400 is a gapful number since it is divisible by the number (60) 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 60390842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276725760).

60390842400 is an abundant number, since it is smaller than the sum of its proper divisors (198162609120).

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

60390842400 is a wasteful number, since it uses less digits than its factorization.

60390842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 60390842400 in words is "sixty billion, three hundred ninety million, eight hundred forty-two thousand, four hundred".