245799671040 has 1512 divisors, whose sum is σ = 1112470579584. Its totient is φ = 50911027200.

The previous prime is 245799671027. The next prime is 245799671053. The reversal of 245799671040 is 40176997542.

245799671040 is a `hidden beast` number, since 2 + 4 + 579 + 9 + 67 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245799671027) and next prime (245799671053).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 790352485 + ... + 790352795.

Almost surely, 2^245799671040 is an apocalyptic number.

245799671040 is a gapful number since it is divisible by the number (20) 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 245799671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556235289792).

245799671040 is an abundant number, since it is smaller than the sum of its proper divisors (866670908544).

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

245799671040 is an equidigital number, since it uses as much as digits as its factorization.

245799671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 245799671040 in words is "two hundred forty-five billion, seven hundred ninety-nine million, six hundred seventy-one thousand, forty".