426984205190400 has 3888 divisors, whose sum is σ = 1894026150901248. Its totient is φ = 90379763712000.

The previous prime is 426984205190359. The next prime is 426984205190467. The reversal of 426984205190400 is 4091502489624.

426984205190400 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 8 + 42 + 0 + 5 + 190 + 400 = 666.

It is a super-2 number, since 2×426984205190400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 564047826822 + ... + 564047827578.

Almost surely, 2^{426984205190400} is an apocalyptic number.

426984205190400 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 426984205190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947013075450624).

426984205190400 is an abundant number, since it is smaller than the sum of its proper divisors (1467041945710848).

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

426984205190400 is a wasteful number, since it uses less digits than its factorization.

426984205190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 426984205190400 in words is "four hundred twenty-six trillion, nine hundred eighty-four billion, two hundred five million, one hundred ninety thousand, four hundred".