413140101000 has 192 divisors, whose sum is σ = 1416832784640. Its totient is φ = 100155088000.

The previous prime is 413140100983. The next prime is 413140101019. The reversal of 413140101000 is 101041314.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 206064 + ... + 932063.

It is an arithmetic number, because the mean of its divisors is an integer number (7379337420).

Almost surely, 2^413140101000 is an apocalyptic number.

413140101000 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 413140101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708416392320).

413140101000 is an abundant number, since it is smaller than the sum of its proper divisors (1003692683640).

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

413140101000 is a wasteful number, since it uses less digits than its factorization.

413140101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138173 (or 1138148 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 413140101000 its reverse (101041314), we get a palindrome (413241142314).

The spelling of 413140101000 in words is "four hundred thirteen billion, one hundred forty million, one hundred one thousand".