425178377120 has 192 divisors, whose sum is σ = 1213920110592. Its totient is φ = 137631744000.

The previous prime is 425178377087. The next prime is 425178377147. The reversal of 425178377120 is 21773871524.

It is a super-3 number, since 3×425178377120³ (a number of 36 digits) contains 333 as substring.

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, 1274180 + ... + 1572860.

It is an arithmetic number, because the mean of its divisors is an integer number (6322500576).

Almost surely, 2^425178377120 is an apocalyptic number.

425178377120 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 425178377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606960055296).

425178377120 is an abundant number, since it is smaller than the sum of its proper divisors (788741733472).

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

425178377120 is a wasteful number, since it uses less digits than its factorization.

425178377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298775 (or 298767 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 425178377120 in words is "four hundred twenty-five billion, one hundred seventy-eight million, three hundred seventy-seven thousand, one hundred twenty".