425840271990120 has 2048 divisors, whose sum is σ = 1616687880192000. Its totient is φ = 100256950886400.

The previous prime is 425840271990109. The next prime is 425840271990139. The reversal of 425840271990120 is 21099172048524.

425840271990120 is a `hidden beast` number, since 4 + 2 + 584 + 0 + 27 + 19 + 9 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×425840271990120² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1016325231271 + ... + 1016325231689.

It is an arithmetic number, because the mean of its divisors is an integer number (789398379000).

Almost surely, 2^{425840271990120} is an apocalyptic number.

425840271990120 is a gapful number since it is divisible by the number (40) 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 425840271990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808343940096000).

425840271990120 is an abundant number, since it is smaller than the sum of its proper divisors (1190847608201880).

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

425840271990120 is a wasteful number, since it uses less digits than its factorization.

425840271990120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 425840271990120 in words is "four hundred twenty-five trillion, eight hundred forty billion, two hundred seventy-one million, nine hundred ninety thousand, one hundred twenty".