40102656 has 144 divisors (see below), whose sum is σ = 120089088. Its totient is φ = 11776000.

The previous prime is 40102651. The next prime is 40102661. The reversal of 40102656 is 65620104.

It is an interprime number because it is at equal distance from previous prime (40102651) and next prime (40102661).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40102651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397006 + ... + 397106.

It is an arithmetic number, because the mean of its divisors is an integer number (833952).

Almost surely, 2^40102656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044544).

40102656 is an abundant number, since it is smaller than the sum of its proper divisors (79986432).

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

40102656 is a wasteful number, since it uses less digits than its factorization.

40102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 40102656 is about 6332.6657893813. The cubic root of 40102656 is about 342.2875048962.

It can be divided in two parts, 4010 and 2656, that added together give a palindrome (6666).

The spelling of 40102656 in words is "forty million, one hundred two thousand, six hundred fifty-six".