40173166433400 has 768 divisors, whose sum is σ = 167429633817600. Its totient is φ = 7695433728000.

The previous prime is 40173166433399. The next prime is 40173166433447. The reversal of 40173166433400 is 433466137104.

It is a super-2 number, since 2×40173166433400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 461817910 + ... + 461904890.

It is an arithmetic number, because the mean of its divisors is an integer number (218007335700).

Almost surely, 2^{40173166433400} is an apocalyptic number.

40173166433400 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 40173166433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83714816908800).

40173166433400 is an abundant number, since it is smaller than the sum of its proper divisors (127256467384200).

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

40173166433400 is a wasteful number, since it uses less digits than its factorization.

40173166433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87800 (or 87791 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 40173166433400 in words is "forty trillion, one hundred seventy-three billion, one hundred sixty-six million, four hundred thirty-three thousand, four hundred".