40295640 has 256 divisors, whose sum is σ = 155520000. Its totient is φ = 8279040.

The previous prime is 40295623. The next prime is 40295641. The reversal of 40295640 is 4659204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40295598 and 40295607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40295641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452716 + ... + 452804.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^40295640 is an apocalyptic number.

40295640 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 40295640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

40295640 is an abundant number, since it is smaller than the sum of its proper divisors (115224360).

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

40295640 is a wasteful number, since it uses less digits than its factorization.

40295640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40295640 is about 6347.8846870434. The cubic root of 40295640 is about 342.8356841728.

It can be divided in two parts, 4029 and 5640, that added together give a palindrome (9669).

The spelling of 40295640 in words is "forty million, two hundred ninety-five thousand, six hundred forty".