60403190400 has 960 divisors, whose sum is σ = 257659490880. Its totient is φ = 13705666560.

The previous prime is 60403190363. The next prime is 60403190401. The reversal of 60403190400 is 409130406.

60403190400 is a `hidden beast` number, since 604 + 0 + 3 + 19 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60403190401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 440899132 + ... + 440899268.

It is an arithmetic number, because the mean of its divisors is an integer number (268395303).

Almost surely, 2^60403190400 is an apocalyptic number.

60403190400 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 60403190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128829745440).

60403190400 is an abundant number, since it is smaller than the sum of its proper divisors (197256300480).

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

60403190400 is an frugal number, since it uses more digits than its factorization.

60403190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

It can be divided in two parts, 604031 and 90400, that added together give a triangular number (694431 = T₁₁₇₈).

The spelling of 60403190400 in words is "sixty billion, four hundred three million, one hundred ninety thousand, four hundred".