40455360 has 168 divisors, whose sum is σ = 151918416. Its totient is φ = 9799680.

The previous prime is 40455353. The next prime is 40455361. The reversal of 40455360 is 6355404.

It is not an unprimeable number, because it can be changed into a prime (40455361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31042 + ... + 32318.

Almost surely, 2^40455360 is an apocalyptic number.

40455360 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 40455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75959208).

40455360 is an abundant number, since it is smaller than the sum of its proper divisors (111463056).

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

40455360 is a wasteful number, since it uses less digits than its factorization.

40455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40455360 is about 6360.4528140691. The cubic root of 40455360 is about 343.2880534331.

The spelling of 40455360 in words is "forty million, four hundred fifty-five thousand, three hundred sixty".