4173627160400 has 240 divisors, whose sum is σ = 10425072888048. Its totient is φ = 1604468736000.

The previous prime is 4173627160393. The next prime is 4173627160421. The reversal of 4173627160400 is 40617263714.

It can be written as a sum of positive squares in 24 ways, for example, as 3873748257856 + 299878902544 = 1968184^2 + 547612^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337270840 + ... + 1337273960.

Almost surely, 2^{4173627160400} is an apocalyptic number.

4173627160400 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 4173627160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212536444024).

4173627160400 is an abundant number, since it is smaller than the sum of its proper divisors (6251445727648).

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

4173627160400 is a wasteful number, since it uses less digits than its factorization.

4173627160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 4173627160400 in words is "four trillion, one hundred seventy-three billion, six hundred twenty-seven million, one hundred sixty thousand, four hundred".