41139284400 has 150 divisors (see below), whose sum is σ = 147645706692. Its totient is φ = 10970467200.

The previous prime is 41139284399. The next prime is 41139284401. The reversal of 41139284400 is 448293114.

It is a happy number.

41139284400 is a `hidden beast` number, since 41 + 139 + 2 + 84 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (41139284399) and next prime (41139284401).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41139284401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 602466 + ... + 667265.

Almost surely, 2^41139284400 is an apocalyptic number.

41139284400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41139284400 is an abundant number, since it is smaller than the sum of its proper divisors (106506422292).

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

41139284400 is a wasteful number, since it uses less digits than its factorization.

41139284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269761 (or 1269741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41139284400 in words is "forty-one billion, one hundred thirty-nine million, two hundred eighty-four thousand, four hundred".