406231464038400 has 5616 divisors, whose sum is σ = 2051962090038720. Its totient is φ = 77870215987200.

The previous prime is 406231464038357. The next prime is 406231464038507. The reversal of 406231464038400 is 4830464132604.

406231464038400 is a `hidden beast` number, since 4 + 0 + 6 + 23 + 146 + 403 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

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 431 ways as a sum of consecutive naturals, for example, 251848395994 + ... + 251848397606.

Almost surely, 2^{406231464038400} is an apocalyptic number.

406231464038400 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 406231464038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025981045019360).

406231464038400 is an abundant number, since it is smaller than the sum of its proper divisors (1645730626000320).

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

406231464038400 is a wasteful number, since it uses less digits than its factorization.

406231464038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 406231464038400 in words is "four hundred six trillion, two hundred thirty-one billion, four hundred sixty-four million, thirty-eight thousand, four hundred".