40265579088 has 480 divisors, whose sum is σ = 142110904320. Its totient is φ = 10866804480.

The previous prime is 40265579083. The next prime is 40265579089. The reversal of 40265579088 is 88097556204.

40265579088 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 557 + 9 + 0 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40265579083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28216231 + ... + 28217657.

It is an arithmetic number, because the mean of its divisors is an integer number (296064384).

Almost surely, 2^40265579088 is an apocalyptic number.

40265579088 is a gapful number since it is divisible by the number (48) 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 40265579088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71055452160).

40265579088 is an abundant number, since it is smaller than the sum of its proper divisors (101845325232).

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

40265579088 is a wasteful number, since it uses less digits than its factorization.

40265579088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 40265579088 in words is "forty billion, two hundred sixty-five million, five hundred seventy-nine thousand, eighty-eight".