426115378080 has 1440 divisors, whose sum is σ = 1828665248256. Its totient is φ = 91478605824.

The previous prime is 426115378063. The next prime is 426115378159. The reversal of 426115378080 is 80873511624.

426115378080 is a `hidden beast` number, since 4 + 26 + 11 + 537 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×426115378080² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5837196924 + ... + 5837196996.

Almost surely, 2^426115378080 is an apocalyptic number.

426115378080 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 426115378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914332624128).

426115378080 is an abundant number, since it is smaller than the sum of its proper divisors (1402549870176).

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

426115378080 is a wasteful number, since it uses less digits than its factorization.

426115378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 426115378080 in words is "four hundred twenty-six billion, one hundred fifteen million, three hundred seventy-eight thousand, eighty".