426176432640 has 2240 divisors, whose sum is σ = 1970787075840. Its totient is φ = 85996339200.

The previous prime is 426176432611. The next prime is 426176432681. The reversal of 426176432640 is 46234671624.

426176432640 is a `hidden beast` number, since 4 + 2 + 6 + 176 + 432 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4219568590 + ... + 4219568690.

Almost surely, 2^426176432640 is an apocalyptic number.

426176432640 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 426176432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985393537920).

426176432640 is an abundant number, since it is smaller than the sum of its proper divisors (1544610643200).

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

426176432640 is a wasteful number, since it uses less digits than its factorization.

426176432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 426176432640 in words is "four hundred twenty-six billion, one hundred seventy-six million, four hundred thirty-two thousand, six hundred forty".