40242960 has 160 divisors (see below), whose sum is σ = 143324160. Its totient is φ = 10368000.

The previous prime is 40242949. The next prime is 40242971. The reversal of 40242960 is 6924204.

It is an interprime number because it is at equal distance from previous prime (40242949) and next prime (40242971).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66660 + ... + 67260.

It is an arithmetic number, because the mean of its divisors is an integer number (895776).

Almost surely, 2^40242960 is an apocalyptic number.

40242960 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 40242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71662080).

40242960 is an abundant number, since it is smaller than the sum of its proper divisors (103081200).

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

40242960 is a wasteful number, since it uses less digits than its factorization.

40242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40242960 is about 6343.7339162358. The cubic root of 40242960 is about 342.6862183747.

The spelling of 40242960 in words is "forty million, two hundred forty-two thousand, nine hundred sixty".