40426767456 has 96 divisors (see below), whose sum is σ = 110027484000. Its totient is φ = 12981534720.

The previous prime is 40426767413. The next prime is 40426767467. The reversal of 40426767456 is 65476762404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40426767399 and 40426767408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233846 + ... + 1266186.

It is an arithmetic number, because the mean of its divisors is an integer number (1146119625).

Almost surely, 2^40426767456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40426767456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55013742000).

40426767456 is an abundant number, since it is smaller than the sum of its proper divisors (69600716544).

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

40426767456 is a wasteful number, since it uses less digits than its factorization.

40426767456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32832 (or 32824 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 40426767456 in words is "forty billion, four hundred twenty-six million, seven hundred sixty-seven thousand, four hundred fifty-six".