33145454040 has 64 divisors (see below), whose sum is σ = 99533180160. Its totient is φ = 8830181760.

The previous prime is 33145454009. The next prime is 33145454053. The reversal of 33145454040 is 4045454133.

It is a happy number.

It is a super-2 number, since 2×33145454040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33145453992 and 33145454010.

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, 10234 + ... + 257673.

It is an arithmetic number, because the mean of its divisors is an integer number (1555205940).

Almost surely, 2^33145454040 is an apocalyptic number.

33145454040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33145454040 is an abundant number, since it is smaller than the sum of its proper divisors (66387726120).

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

33145454040 is a wasteful number, since it uses less digits than its factorization.

33145454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268952 (or 268948 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 33145454040 in words is "thirty-three billion, one hundred forty-five million, four hundred fifty-four thousand, forty".