4002133420040 has 64 divisors (see below), whose sum is σ = 10432175621760. Its totient is φ = 1353363310080.

The previous prime is 4002133420001. The next prime is 4002133420177. The reversal of 4002133420040 is 400243312004.

It is a junction number, because it is equal to n+sod(n) for n = 4002133419988 and 4002133420015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97879106 + ... + 97919985.

It is an arithmetic number, because the mean of its divisors is an integer number (163002744090).

Almost surely, 2^{4002133420040} is an apocalyptic number.

4002133420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002133420040 is an abundant number, since it is smaller than the sum of its proper divisors (6430042201720).

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

4002133420040 is a wasteful number, since it uses less digits than its factorization.

4002133420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195799182 (or 195799178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4002133420040 its reverse (400243312004), we get a palindrome (4402376732044).

The spelling of 4002133420040 in words is "four trillion, two billion, one hundred thirty-three million, four hundred twenty thousand, forty".