40426715616 has 96 divisors (see below), whose sum is σ = 121351120128. Its totient is φ = 11543731200.

The previous prime is 40426715519. The next prime is 40426715617. The reversal of 40426715616 is 61651762404.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40426715617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193571 + ... + 1226973.

It is an arithmetic number, because the mean of its divisors is an integer number (1264074168).

Almost surely, 2^40426715616 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 40426715616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60675560064).

40426715616 is an abundant number, since it is smaller than the sum of its proper divisors (80924404512).

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

40426715616 is a wasteful number, since it uses less digits than its factorization.

40426715616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35224 (or 35216 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 40426715616 in words is "forty billion, four hundred twenty-six million, seven hundred fifteen thousand, six hundred sixteen".