40035100000 has 144 divisors (see below), whose sum is σ = 112593481056. Its totient is φ = 13726080000.

The previous prime is 40035099967. The next prime is 40035100031. The reversal of 40035100000 is 153004.

It is a super-3 number, since 3×40035100000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671404 + ... + 728596.

It is an arithmetic number, because the mean of its divisors is an integer number (781899174).

Almost surely, 2^40035100000 is an apocalyptic number.

40035100000 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 40035100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56296740528).

40035100000 is an abundant number, since it is smaller than the sum of its proper divisors (72558381056).

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

40035100000 is an frugal number, since it uses more digits than its factorization.

40035100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57235 (or 57207 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 40035100000 its reverse (153004), we get a palindrome (40035253004).

The spelling of 40035100000 in words is "forty billion, thirty-five million, one hundred thousand".