1207857930240 has 448 divisors, whose sum is σ = 4296651190272. Its totient is φ = 287716147200.

The previous prime is 1207857930233. The next prime is 1207857930277. The reversal of 1207857930240 is 420397587021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1207857930240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49508445 + ... + 49532835.

It is an arithmetic number, because the mean of its divisors is an integer number (9590739264).

Almost surely, 2^{1207857930240} is an apocalyptic number.

1207857930240 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 1207857930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148325595136).

1207857930240 is an abundant number, since it is smaller than the sum of its proper divisors (3088793260032).

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

1207857930240 is a wasteful number, since it uses less digits than its factorization.

1207857930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24469 (or 24445 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1207857930240 in words is "one trillion, two hundred seven billion, eight hundred fifty-seven million, nine hundred thirty thousand, two hundred forty".