40434465355326 has 256 divisors, whose sum is σ = 109040562892800. Its totient is φ = 10842240282624.

The previous prime is 40434465355261. The next prime is 40434465355331. The reversal of 40434465355326 is 62355356443404.

40434465355326 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 4 + 4 + 65 + 3 + 553 + 26 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7382590900 + ... + 7382596376.

It is an arithmetic number, because the mean of its divisors is an integer number (425939698800).

Almost surely, 2^{40434465355326} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40434465355326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54520281446400).

40434465355326 is an abundant number, since it is smaller than the sum of its proper divisors (68606097537474).

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

40434465355326 is a wasteful number, since it uses less digits than its factorization.

40434465355326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 54.

The spelling of 40434465355326 in words is "forty trillion, four hundred thirty-four billion, four hundred sixty-five million, three hundred fifty-five thousand, three hundred twenty-six".