426344033610000 has 675 divisors, whose sum is σ = 1639115080035433. Its totient is φ = 103339610880000.

The previous prime is 426344033609957. The next prime is 426344033610041. The reversal of 426344033610000 is 16330443624.

The square root of 426344033610000 is 20648100.

It is a perfect power (a square), and thus also a powerful number.

426344033610000 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 4 + 4 + 0 + 33 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 60125694613776 + 366218338996224 = 7754076^2 + 19136832^2 .

It is a super-4 number, since 4×426344033610000⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 68138726872 + ... + 68138733128.

Almost surely, 2^{426344033610000} is an apocalyptic number.

426344033610000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

426344033610000 is the 20648100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426344033610000

426344033610000 is an abundant number, since it is smaller than the sum of its proper divisors (1212771046425433).

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

426344033610000 is an frugal number, since it uses more digits than its factorization.

426344033610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

426344033610000 divided by its sum of digits (36) gives a square (11842889822500 = 3441350²).

The spelling of 426344033610000 in words is "four hundred twenty-six trillion, three hundred forty-four billion, thirty-three million, six hundred ten thousand".