413374734000 has 480 divisors, whose sum is σ = 1460054479104. Its totient is φ = 108999475200.

The previous prime is 413374733987. The next prime is 413374734007. The reversal of 413374734000 is 437473314.

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 (413374734007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892817769 + ... + 892818231.

Almost surely, 2^413374734000 is an apocalyptic number.

413374734000 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 413374734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730027239552).

413374734000 is an abundant number, since it is smaller than the sum of its proper divisors (1046679745104).

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

413374734000 is a wasteful number, since it uses less digits than its factorization.

413374734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 413374734000 in words is "four hundred thirteen billion, three hundred seventy-four million, seven hundred thirty-four thousand".