405716267424 has 96 divisors (see below), whose sum is σ = 1162640291904. Its totient is φ = 123125667840.

The previous prime is 405716267371. The next prime is 405716267443. The reversal of 405716267424 is 424762617504.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2135562 + ... + 2317769.

It is an arithmetic number, because the mean of its divisors is an integer number (12110836374).

Almost surely, 2^405716267424 is an apocalyptic number.

It is an amenable number.

405716267424 is an abundant number, since it is smaller than the sum of its proper divisors (756924024480).

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

405716267424 is a wasteful number, since it uses less digits than its factorization.

405716267424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453430 (or 4453422 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 405716267424 in words is "four hundred five billion, seven hundred sixteen million, two hundred sixty-seven thousand, four hundred twenty-four".