405450011040 has 48 divisors (see below), whose sum is σ = 1277167536288. Its totient is φ = 108120002816.

The previous prime is 405450011039. The next prime is 405450011047. The reversal of 405450011040 is 40110054504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×405450011040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 405450011040.

It is not an unprimeable number, because it can be changed into a prime (405450011047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422343282 + ... + 422344241.

It is an arithmetic number, because the mean of its divisors is an integer number (26607657006).

Almost surely, 2^405450011040 is an apocalyptic number.

405450011040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405450011040 is an abundant number, since it is smaller than the sum of its proper divisors (871717525248).

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

405450011040 is a wasteful number, since it uses less digits than its factorization.

405450011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844687541 (or 844687533 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 405450011040 its reverse (40110054504), we get a palindrome (445560065544).

The spelling of 405450011040 in words is "four hundred five billion, four hundred fifty million, eleven thousand, forty".