406014484704 has 96 divisors (see below), whose sum is σ = 1076285460096. Its totient is φ = 134011691520.

The previous prime is 406014484633. The next prime is 406014484739. The reversal of 406014484704 is 407484410604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×406014484704³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939559 + ... + 4041305.

It is an arithmetic number, because the mean of its divisors is an integer number (11211306876).

Almost surely, 2^406014484704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406014484704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538142730048).

406014484704 is an abundant number, since it is smaller than the sum of its proper divisors (670270975392).

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

406014484704 is a wasteful number, since it uses less digits than its factorization.

406014484704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102168 (or 102160 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 406014484704 in words is "four hundred six billion, fourteen million, four hundred eighty-four thousand, seven hundred four".