406213424969040 has 1920 divisors, whose sum is σ = 1667570993625600. Its totient is φ = 90253299548160.

The previous prime is 406213424968991. The next prime is 406213424969071. The reversal of 406213424969040 is 40969424312604.

406213424969040 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 1 + 3 + 424 + 96 + 90 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19630464934 + ... + 19630485626.

It is an arithmetic number, because the mean of its divisors is an integer number (868526559180).

Almost surely, 2^{406213424969040} is an apocalyptic number.

406213424969040 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 406213424969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833785496812800).

406213424969040 is an abundant number, since it is smaller than the sum of its proper divisors (1261357568656560).

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

406213424969040 is a wasteful number, since it uses less digits than its factorization.

406213424969040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20862 (or 20833 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 406213424969040 in words is "four hundred six trillion, two hundred thirteen billion, four hundred twenty-four million, nine hundred sixty-nine thousand, forty".