425185286400 has 3456 divisors, whose sum is σ = 2102265446400. Its totient is φ = 81749606400.

The previous prime is 425185286381. The next prime is 425185286483. The reversal of 425185286400 is 4682581524.

425185286400 is a `hidden beast` number, since 4 + 2 + 518 + 52 + 86 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13715654385 + ... + 13715654415.

It is an arithmetic number, because the mean of its divisors is an integer number (608294400).

Almost surely, 2^425185286400 is an apocalyptic number.

425185286400 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 425185286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051132723200).

425185286400 is an abundant number, since it is smaller than the sum of its proper divisors (1677080160000).

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

425185286400 is a wasteful number, since it uses less digits than its factorization.

425185286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 425185286400 in words is "four hundred twenty-five billion, one hundred eighty-five million, two hundred eighty-six thousand, four hundred".