1245358033920 has 4224 divisors, whose sum is σ = 6437733120000. Its totient is φ = 218494402560.

The previous prime is 1245358033897. The next prime is 1245358033943. The reversal of 1245358033920 is 293308535421.

1245358033920 is a `hidden beast` number, since 1 + 2 + 4 + 535 + 80 + 3 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1245358033897) and next prime (1245358033943).

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42943380466 + ... + 42943380494.

Almost surely, 2^{1245358033920} is an apocalyptic number.

1245358033920 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 1245358033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218866560000).

1245358033920 is an abundant number, since it is smaller than the sum of its proper divisors (5192375086080).

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

1245358033920 is a wasteful number, since it uses less digits than its factorization.

1245358033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1245358033920 in words is "one trillion, two hundred forty-five billion, three hundred fifty-eight million, thirty-three thousand, nine hundred twenty".