413151040512 has 264 divisors, whose sum is σ = 1391223080000. Its totient is φ = 118042251264.

The previous prime is 413151040507. The next prime is 413151040513. The reversal of 413151040512 is 215040151314.

413151040512 is a `hidden beast` number, since 4 + 131 + 5 + 10 + 4 + 0 + 512 = 666.

It is a super-6 number, since 6×413151040512⁶ (a number of 71 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413151040513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095739 + ... + 3226437.

Almost surely, 2^413151040512 is an apocalyptic number.

413151040512 is a gapful number since it is divisible by the number (42) 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 413151040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695611540000).

413151040512 is an abundant number, since it is smaller than the sum of its proper divisors (978072039488).

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

413151040512 is a wasteful number, since it uses less digits than its factorization.

413151040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130746 (or 130711 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 413151040512 its reverse (215040151314), we get a palindrome (628191191826).

The spelling of 413151040512 in words is "four hundred thirteen billion, one hundred fifty-one million, forty thousand, five hundred twelve".