40626560 has 128 divisors (see below), whose sum is σ = 110527200. Its totient is φ = 14155776.

The previous prime is 40626557. The next prime is 40626563. The reversal of 40626560 is 6562604.

It is an interprime number because it is at equal distance from previous prime (40626557) and next prime (40626563).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40626563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157952 + ... + 158208.

Almost surely, 2^40626560 is an apocalyptic number.

40626560 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 40626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55263600).

40626560 is an abundant number, since it is smaller than the sum of its proper divisors (69900640).

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

40626560 is a wasteful number, since it uses less digits than its factorization.

40626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 40626560 is about 6373.8967672845. The cubic root of 40626560 is about 343.7716169326.

The spelling of 40626560 in words is "forty million, six hundred twenty-six thousand, five hundred sixty".