41172380400 has 240 divisors, whose sum is σ = 135941799168. Its totient is φ = 10645248000.

The previous prime is 41172380357. The next prime is 41172380411. The reversal of 41172380400 is 408327114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8213895 + ... + 8218905.

Almost surely, 2^41172380400 is an apocalyptic number.

41172380400 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 41172380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970899584).

41172380400 is an abundant number, since it is smaller than the sum of its proper divisors (94769418768).

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

41172380400 is a wasteful number, since it uses less digits than its factorization.

41172380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 41172380400 in words is "forty-one billion, one hundred seventy-two million, three hundred eighty thousand, four hundred".