413877280000 has 180 divisors, whose sum is σ = 1065655980928. Its totient is φ = 160208640000.

The previous prime is 413877279961. The next prime is 413877280039. The reversal of 413877280000 is 82778314.

It is an interprime number because it is at equal distance from previous prime (413877279961) and next prime (413877280039).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4918279 + ... + 5001721.

Almost surely, 2^413877280000 is an apocalyptic number.

413877280000 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 413877280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532827990464).

413877280000 is an abundant number, since it is smaller than the sum of its proper divisors (651778700928).

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

413877280000 is an frugal number, since it uses more digits than its factorization.

413877280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83510 (or 83481 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 413877280000 in words is "four hundred thirteen billion, eight hundred seventy-seven million, two hundred eighty thousand".