413134440000 has 560 divisors, whose sum is σ = 1398584309760. Its totient is φ = 107571200000.

The previous prime is 413134439999. The next prime is 413134440041. The reversal of 413134440000 is 44431314.

It is a super-2 number, since 2×413134440000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1078679809 + ... + 1078680191.

Almost surely, 2^413134440000 is an apocalyptic number.

413134440000 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 413134440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699292154880).

413134440000 is an abundant number, since it is smaller than the sum of its proper divisors (985449869760).

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

413134440000 is a wasteful number, since it uses less digits than its factorization.

413134440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413134440000 its reverse (44431314), we get a palindrome (413178871314).

The spelling of 413134440000 in words is "four hundred thirteen billion, one hundred thirty-four million, four hundred forty thousand".