41430735360 has 1600 divisors, whose sum is σ = 189940557312. Its totient is φ = 8408530944.

The previous prime is 41430735341. The next prime is 41430735397. The reversal of 41430735360 is 6353703414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 567544284 + ... + 567544356.

Almost surely, 2^41430735360 is an apocalyptic number.

41430735360 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 41430735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94970278656).

41430735360 is an abundant number, since it is smaller than the sum of its proper divisors (148509821952).

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

41430735360 is a wasteful number, since it uses less digits than its factorization.

41430735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 41430735360 in words is "forty-one billion, four hundred thirty million, seven hundred thirty-five thousand, three hundred sixty".