405742068400 has 30 divisors (see below), whose sum is σ = 974795320292. Its totient is φ = 162296827200.

The previous prime is 405742068367. The next prime is 405742068419. The reversal of 405742068400 is 4860247504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 507177186 + ... + 507177985.

Almost surely, 2^405742068400 is an apocalyptic number.

405742068400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405742068400 is an abundant number, since it is smaller than the sum of its proper divisors (569053251892).

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

405742068400 is a wasteful number, since it uses less digits than its factorization.

405742068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014355189 (or 1014355178 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 405742068400 in words is "four hundred five billion, seven hundred forty-two million, sixty-eight thousand, four hundred".