426219354000 has 1920 divisors, whose sum is σ = 1806689364480. Its totient is φ = 95800320000.

The previous prime is 426219353999. The next prime is 426219354013. The reversal of 426219354000 is 453912624.

It is a happy number.

426219354000 is a `hidden beast` number, since 4 + 2 + 6 + 21 + 93 + 540 + 0 + 0 = 666.

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

It is a congruent number.

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, 9912077979 + ... + 9912078021.

It is an arithmetic number, because the mean of its divisors is an integer number (940984044).

Almost surely, 2^426219354000 is an apocalyptic number.

426219354000 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 426219354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903344682240).

426219354000 is an abundant number, since it is smaller than the sum of its proper divisors (1380470010480).

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

426219354000 is a wasteful number, since it uses less digits than its factorization.

426219354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 426219354000 in words is "four hundred twenty-six billion, two hundred nineteen million, three hundred fifty-four thousand".