433014140040 has 128 divisors (see below), whose sum is σ = 1336003320960. Its totient is φ = 112212301824.

The previous prime is 433014140029. The next prime is 433014140129. The reversal of 433014140040 is 40041410334.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803532 + ... + 1229508.

It is an arithmetic number, because the mean of its divisors is an integer number (10437525945).

Almost surely, 2^433014140040 is an apocalyptic number.

433014140040 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 433014140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668001660480).

433014140040 is an abundant number, since it is smaller than the sum of its proper divisors (902989180920).

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

433014140040 is a wasteful number, since it uses less digits than its factorization.

433014140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426231 (or 426227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 433014140040 its reverse (40041410334), we get a palindrome (473055550374).

The spelling of 433014140040 in words is "four hundred thirty-three billion, fourteen million, one hundred forty thousand, forty".