40040040040 has 256 divisors, whose sum is σ = 122170083840. Its totient is φ = 11404800000.

The previous prime is 40040040017. The next prime is 40040040067. The reversal of 40040040040 is 4004004004.

40040040040 is a modest number, since divided by 40040040 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40040039996 and 40040040023.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4039090 + ... + 4048990.

It is an arithmetic number, because the mean of its divisors is an integer number (477226890).

Almost surely, 2^40040040040 is an apocalyptic number.

40040040040 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 40040040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61085041920).

40040040040 is an abundant number, since it is smaller than the sum of its proper divisors (82130043800).

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

40040040040 is a wasteful number, since it uses less digits than its factorization.

40040040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40040040040 its reverse (4004004004), we get a palindrome (44044044044).

The spelling of 40040040040 in words is "forty billion, forty million, forty thousand, forty", and thus it is an eban number.