425185613501040 has 480 divisors, whose sum is σ = 1669955775561216. Its totient is φ = 94919380899840.

The previous prime is 425185613501039. The next prime is 425185613501093. The reversal of 425185613501040 is 40105316581524.

425185613501040 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 8 + 561 + 35 + 0 + 10 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4260882027 + ... + 4260981813.

Almost surely, 2^{425185613501040} is an apocalyptic number.

425185613501040 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 425185613501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834977887780608).

425185613501040 is an abundant number, since it is smaller than the sum of its proper divisors (1244770162060176).

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

425185613501040 is a wasteful number, since it uses less digits than its factorization.

425185613501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119517 (or 119508 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 425185613501040 in words is "four hundred twenty-five trillion, one hundred eighty-five billion, six hundred thirteen million, five hundred one thousand, forty".