413987595840 has 1792 divisors, whose sum is σ = 1946662502400. Its totient is φ = 80337567744.

The previous prime is 413987595811. The next prime is 413987595883. The reversal of 413987595840 is 48595789314.

413987595840 is a `hidden beast` number, since 4 + 1 + 39 + 8 + 7 + 595 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 628205431 + ... + 628206089.

It is an arithmetic number, because the mean of its divisors is an integer number (1086307200).

Almost surely, 2^413987595840 is an apocalyptic number.

413987595840 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 413987595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973331251200).

413987595840 is an abundant number, since it is smaller than the sum of its proper divisors (1532674906560).

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

413987595840 is a wasteful number, since it uses less digits than its factorization.

413987595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 413987595840 in words is "four hundred thirteen billion, nine hundred eighty-seven million, five hundred ninety-five thousand, eight hundred forty".