413997423840 has 768 divisors, whose sum is σ = 1945518704640. Its totient is φ = 79407267840.

The previous prime is 413997423821. The next prime is 413997423841. The reversal of 413997423840 is 48324799314.

413997423840 is a `hidden beast` number, since 4 + 139 + 9 + 7 + 423 + 84 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413997423841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4276452 + ... + 4372188.

It is an arithmetic number, because the mean of its divisors is an integer number (2533227480).

Almost surely, 2^413997423840 is an apocalyptic number.

413997423840 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 413997423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972759352320).

413997423840 is an abundant number, since it is smaller than the sum of its proper divisors (1531521280800).

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

413997423840 is a wasteful number, since it uses less digits than its factorization.

413997423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95792 (or 95778 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 413997423840 in words is "four hundred thirteen billion, nine hundred ninety-seven million, four hundred twenty-three thousand, eight hundred forty".