33149669040 has 160 divisors (see below), whose sum is σ = 114299827200. Its totient is φ = 8830805760.

The previous prime is 33149668987. The next prime is 33149669071. The reversal of 33149669040 is 4096694133.

33149669040 is a `hidden beast` number, since 3 + 31 + 496 + 6 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2236855 + ... + 2251625.

It is an arithmetic number, because the mean of its divisors is an integer number (714373920).

Almost surely, 2^33149669040 is an apocalyptic number.

33149669040 is a gapful number since it is divisible by the number (30) 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 33149669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57149913600).

33149669040 is an abundant number, since it is smaller than the sum of its proper divisors (81150158160).

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

33149669040 is a wasteful number, since it uses less digits than its factorization.

33149669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 33149669040 in words is "thirty-three billion, one hundred forty-nine million, six hundred sixty-nine thousand, forty".