41627121122400 has 216 divisors, whose sum is σ = 148933927821672. Its totient is φ = 10091423232000.

The previous prime is 41627121122399. The next prime is 41627121122443. The reversal of 41627121122400 is 422112172614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71381641 + ... + 71962440.

Almost surely, 2^{41627121122400} is an apocalyptic number.

41627121122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41627121122400 is an abundant number, since it is smaller than the sum of its proper divisors (107306806699272).

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

41627121122400 is a wasteful number, since it uses less digits than its factorization.

41627121122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143344126 (or 143344102 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 41627121122400 in words is "forty-one trillion, six hundred twenty-seven billion, one hundred twenty-one million, one hundred twenty-two thousand, four hundred".