426461062467440 has 640 divisors, whose sum is σ = 1343009601884160. Its totient is φ = 122631082168320.

The previous prime is 426461062467337. The next prime is 426461062467443. The reversal of 426461062467440 is 44764260164624.

It is a super-2 number, since 2×426461062467440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426461062467443) 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, 19350279941 + ... + 19350301979.

It is an arithmetic number, because the mean of its divisors is an integer number (2098452502944).

Almost surely, 2^{426461062467440} is an apocalyptic number.

426461062467440 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 426461062467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671504800942080).

426461062467440 is an abundant number, since it is smaller than the sum of its proper divisors (916548539416720).

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

426461062467440 is a wasteful number, since it uses less digits than its factorization.

426461062467440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24102 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 56.

The spelling of 426461062467440 in words is "four hundred twenty-six trillion, four hundred sixty-one billion, sixty-two million, four hundred sixty-seven thousand, four hundred forty".