413022867840 has 192 divisors, whose sum is σ = 1555876155600. Its totient is φ = 100126740480.

The previous prime is 413022867809. The next prime is 413022867877. The reversal of 413022867840 is 48768220314.

It is a happy number.

413022867840 is a `hidden beast` number, since 413 + 0 + 228 + 6 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195975 + ... + 3322694.

Almost surely, 2^413022867840 is an apocalyptic number.

413022867840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413022867840 is an abundant number, since it is smaller than the sum of its proper divisors (1142853287760).

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

413022867840 is a wasteful number, since it uses less digits than its factorization.

413022867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518705 (or 6518690 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 413022867840 in words is "four hundred thirteen billion, twenty-two million, eight hundred sixty-seven thousand, eight hundred forty".