1927485050400 has 3456 divisors, whose sum is σ = 9410810169600. Its totient is φ = 376233984000.

The previous prime is 1927485050369. The next prime is 1927485050423. The reversal of 1927485050400 is 40505847291.

1927485050400 is a `hidden beast` number, since 1 + 92 + 7 + 4 + 8 + 50 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19084010350 + ... + 19084010450.

It is an arithmetic number, because the mean of its divisors is an integer number (2723035350).

Almost surely, 2^{1927485050400} is an apocalyptic number.

1927485050400 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 1927485050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705405084800).

1927485050400 is an abundant number, since it is smaller than the sum of its proper divisors (7483325119200).

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

1927485050400 is a wasteful number, since it uses less digits than its factorization.

1927485050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1927485050400 in words is "one trillion, nine hundred twenty-seven billion, four hundred eighty-five million, fifty thousand, four hundred".