40133155133104 has 80 divisors (see below), whose sum is σ = 85441358545920. Its totient is φ = 18110536692480.

The previous prime is 40133155133101. The next prime is 40133155133119.

40133155133104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40133155133104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40133155133104.

It is not an unprimeable number, because it can be changed into a prime (40133155133101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18073582 + ... + 20172274.

It is an arithmetic number, because the mean of its divisors is an integer number (1068016981824).

Almost surely, 2^{40133155133104} is an apocalyptic number.

40133155133104 is a gapful number since it is divisible by the number (44) 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 40133155133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42720679272960).

40133155133104 is an abundant number, since it is smaller than the sum of its proper divisors (45308203412816).

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

40133155133104 is a wasteful number, since it uses less digits than its factorization.

40133155133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099498 (or 2099492 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 4013315 and 5133104, that added together give a palindrome (9146419).

The spelling of 40133155133104 in words is "forty trillion, one hundred thirty-three billion, one hundred fifty-five million, one hundred thirty-three thousand, one hundred four".