1425755390400 has 2520 divisors, whose sum is σ = 6204029166720. Its totient is φ = 320155545600.

The previous prime is 1425755390393. The next prime is 1425755390401. The reversal of 1425755390400 is 40935575241.

1425755390400 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 7 + 553 + 90 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425755390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21279931167 + ... + 21279931233.

It is an arithmetic number, because the mean of its divisors is an integer number (2461916336).

Almost surely, 2^{1425755390400} is an apocalyptic number.

1425755390400 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 1425755390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102014583360).

1425755390400 is an abundant number, since it is smaller than the sum of its proper divisors (4778273776320).

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

1425755390400 is a wasteful number, since it uses less digits than its factorization.

1425755390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1425755390400 in words is "one trillion, four hundred twenty-five billion, seven hundred fifty-five million, three hundred ninety thousand, four hundred".