40102410040 has 256 divisors, whose sum is σ = 121622860800. Its totient is φ = 11520921600.

The previous prime is 40102410037. The next prime is 40102410107. The reversal of 40102410040 is 4001420104.

It is a junction number, because it is equal to n+sod(n) for n = 40102409996 and 40102410023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2155980 + ... + 2174500.

It is an arithmetic number, because the mean of its divisors is an integer number (475089300).

Almost surely, 2^40102410040 is an apocalyptic number.

40102410040 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 40102410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60811430400).

40102410040 is an abundant number, since it is smaller than the sum of its proper divisors (81520450760).

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

40102410040 is a wasteful number, since it uses less digits than its factorization.

40102410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606 (or 18602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40102410040 its reverse (4001420104), we get a palindrome (44103830144).

The spelling of 40102410040 in words is "forty billion, one hundred two million, four hundred ten thousand, forty".