40027133172004 has 48 divisors (see below), whose sum is σ = 80944504200000. Its totient is φ = 17116702479360.

The previous prime is 40027133171989. The next prime is 40027133172017.

40027133172004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 9478254 + ... + 13034245.

It is an arithmetic number, because the mean of its divisors is an integer number (1686343837500).

Almost surely, 2^{40027133172004} is an apocalyptic number.

40027133172004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40027133172004 is an abundant number, since it is smaller than the sum of its proper divisors (40917371027996).

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

40027133172004 is a wasteful number, since it uses less digits than its factorization.

40027133172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514908 (or 22514906 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

It can be divided in two parts, 4002713 and 3172004, that added together give a palindrome (7174717).

The spelling of 40027133172004 in words is "forty trillion, twenty-seven billion, one hundred thirty-three million, one hundred seventy-two thousand, four".