426621405425040 has 640 divisors, whose sum is σ = 1701729625190400. Its totient is φ = 96221287895040.

The previous prime is 426621405425021. The next prime is 426621405425041. The reversal of 426621405425040 is 40524504126624.

426621405425040 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 2 + 14 + 0 + 542 + 50 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (426621405425041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 660406039 + ... + 661051721.

It is an arithmetic number, because the mean of its divisors is an integer number (2658952539360).

Almost surely, 2^{426621405425040} is an apocalyptic number.

426621405425040 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 426621405425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850864812595200).

426621405425040 is an abundant number, since it is smaller than the sum of its proper divisors (1275108219765360).

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

426621405425040 is a wasteful number, since it uses less digits than its factorization.

426621405425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646292 (or 646280 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 426621405425040 in words is "four hundred twenty-six trillion, six hundred twenty-one billion, four hundred five million, four hundred twenty-five thousand, forty".