413200542878928 has 480 divisors, whose sum is σ = 1472618843504640. Its totient is φ = 105513312199680.

The previous prime is 413200542878857. The next prime is 413200542878941. The reversal of 413200542878928 is 829878245002314.

413200542878928 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 0 + 0 + 542 + 8 + 7 + 89 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10929925 + ... + 30754907.

It is an arithmetic number, because the mean of its divisors is an integer number (3067955923968).

Almost surely, 2^{413200542878928} is an apocalyptic number.

413200542878928 is a gapful number since it is divisible by the number (48) 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 413200542878928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736309421752320).

413200542878928 is an abundant number, since it is smaller than the sum of its proper divisors (1059418300625712).

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

413200542878928 is a wasteful number, since it uses less digits than its factorization.

413200542878928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19825087 (or 19825078 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 413200542878928 in words is "four hundred thirteen trillion, two hundred billion, five hundred forty-two million, eight hundred seventy-eight thousand, nine hundred twenty-eight".