1245159590400 has 1440 divisors, whose sum is σ = 5195776734720. Its totient is φ = 281788416000.

The previous prime is 1245159590399. The next prime is 1245159590417. The reversal of 1245159590400 is 40959515421.

1245159590400 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 1 + 59 + 590 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1139212254 + ... + 1139213346.

It is an arithmetic number, because the mean of its divisors is an integer number (3608178288).

Almost surely, 2^{1245159590400} is an apocalyptic number.

1245159590400 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 1245159590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597888367360).

1245159590400 is an abundant number, since it is smaller than the sum of its proper divisors (3950617144320).

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

1245159590400 is a wasteful number, since it uses less digits than its factorization.

1245159590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1245159590400 in words is "one trillion, two hundred forty-five billion, one hundred fifty-nine million, five hundred ninety thousand, four hundred".