41898427200 has 672 divisors, whose sum is σ = 175495712000. Its totient is φ = 9525288960.

The previous prime is 41898427199. The next prime is 41898427217. The reversal of 41898427200 is 272489814.

41898427200 is a `hidden beast` number, since 4 + 18 + 9 + 8 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105537402 + ... + 105537798.

Almost surely, 2^41898427200 is an apocalyptic number.

41898427200 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 41898427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87747856000).

41898427200 is an abundant number, since it is smaller than the sum of its proper divisors (133597284800).

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

41898427200 is a wasteful number, since it uses less digits than its factorization.

41898427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41898427200 in words is "forty-one billion, eight hundred ninety-eight million, four hundred twenty-seven thousand, two hundred".