190324742400 has 1296 divisors, whose sum is σ = 785484475776. Its totient is φ = 43599790080.

The previous prime is 190324742393. The next prime is 190324742401. The reversal of 190324742400 is 4247423091.

190324742400 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 247 + 4 + 2 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (190324742401) 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 143 ways as a sum of consecutive naturals, for example, 740563072 + ... + 740563328.

Almost surely, 2^190324742400 is an apocalyptic number.

190324742400 is a gapful number since it is divisible by the number (10) 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 190324742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392742237888).

190324742400 is an abundant number, since it is smaller than the sum of its proper divisors (595159733376).

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

190324742400 is a wasteful number, since it uses less digits than its factorization.

190324742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 190324742400 in words is "one hundred ninety billion, three hundred twenty-four million, seven hundred forty-two thousand, four hundred".