426007461888 has 576 divisors, whose sum is σ = 1368763945920. Its totient is φ = 130459631616.

The previous prime is 426007461881. The next prime is 426007461947. The reversal of 426007461888 is 888164700624.

426007461888 is a `hidden beast` number, since 42 + 60 + 0 + 7 + 461 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×426007461888⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426007461881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4391829456 + ... + 4391829552.

It is an arithmetic number, because the mean of its divisors is an integer number (2376326295).

Almost surely, 2^426007461888 is an apocalyptic number.

426007461888 is a gapful number since it is divisible by the number (48) 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 426007461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684381972960).

426007461888 is an abundant number, since it is smaller than the sum of its proper divisors (942756484032).

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

426007461888 is an frugal number, since it uses more digits than its factorization.

426007461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 426007461888 in words is "four hundred twenty-six billion, seven million, four hundred sixty-one thousand, eight hundred eighty-eight".